How do you find the length of an altitude of an isosceles triangle?

Answers

Answer 1

The altitude of an isosceles triangle is sqrt (a^2 - b^2 / 4).

In the triangle ABC, sides AB and AC are equal (say a) and side BC = b. Let  us consider the triangle ADC which is the right triangle in the isosceles triangle ABC, and by Pythagoras' theorem,

we get that the altitude AD of the isosceles triangle can be obtained:

AD ^ 2 = AC ^ 2 - (BC / 2) ^2

AD ^ 2 =  (a ^ 2 - b ^ 2 / 4)

AD = sqrt (a ^ 2 - b ^ 2 / 4).

To know more about altitude:

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How Do You Find The Length Of An Altitude Of An Isosceles Triangle?

Related Questions

Find the missing side of the triangle using Pythagorean theorem

Answers

Answer:

D) [tex]8\sqrt{3}[/tex]

Step-by-step explanation:

a² + b² = c²

x² + 8² = 16²

x² + 64 = 256

x² = 192

[tex]\sqrt{x^2} =\sqrt{92} \\x=8\sqrt{3}[/tex]

help plzz I need an answer ASAP
will mark u as brainliest if the answer is valid

Answers

Answer:

A + B + C + D = 52.35

Step-by-step explanation:

Here, we want to get the sum of A, B , C and D

from the question, s represents the number of small candies

L represents the number of large candies

Let us start with the cost;

small candies cost 10 cents; that is same as 10/100 = $0.1

large candies cost 25 cents, that is same as 25/100 = $0.25

so therefore, A is 0.1 and B is 0.25

C and D represents the total number of candies bought and that is 52

So, the sum of A, B , C and D is ;

0.25 + 0.1 + 52 = 52.35

7y+5y-3y= How would I simplify this?

Answers

Answer:

9y

Step-by-step explanation:

Add 7y and 5y which equals 12y. Then subtract 3y from 12y and u get 9y. It might be wrong


Let's simplify step-by-step.
7
y
+
5
y

3
y
=
7
y
+
5
y
+

3
y
Combine Like Terms:
=
7
y
+
5
y
+

3
y
=
(
7
y
+
5
y
+

3
y
)
=
9
y

Do you know the answer toPart A: 25% of 50 = Part B: 25% of 60 = Part C: 50% of 60 = Part D: 75% of 60 = Part E: 75% of 30 = Part F: 100% of 22.5 = Part G: 10% of 22.5 = Part H: 50% of 45.7 =

Answers

Answer:

Part A: 25% of 50 = 12.5

Part B: 25% of 60 = 15

Part C: 50% of 60 = 30

Part D: 75% of 60 = 45

Part E: 75% of 30 = 22.5

Part F: 100% of 22.5 = 22.5

Part G: 10% of 22.5 = 2.25

Part H: 50% of 45.7 = 22.85

Step-by-step explanation:

To find - Do you know the answer to

              Part A: 25% of 50 =

              Part B: 25% of 60 =

              Part C: 50% of 60 =

              Part D: 75% of 60 =

              Part E: 75% of 30 =

              Part F: 100% of 22.5 =

              Part G: 10% of 22.5 =

              Part H: 50% of 45.7 =

Proof -

Part A :

25% of 50 =  [tex]\frac{25}{100} *50[/tex] = [tex]\frac{1}{4}*50[/tex] = 12.5

⇒25% of 50 = 12.5

Part B :

25% of 60 =  [tex]\frac{25}{100} *60[/tex] = [tex]\frac{1}{4}*60[/tex] = 15

⇒25% of 60 = 15

Part C :

50% of 60 =  [tex]\frac{50}{100} *60[/tex] = [tex]\frac{1}{2}*60[/tex] = 30

⇒50% of 60 = 30

Part D :

75% of 60 = [tex]\frac{75}{100} *60[/tex] = [tex]\frac{75}{10}*6[/tex] = 45

⇒75% of 60 = 45

Part E :

75% of 30 = [tex]\frac{75}{100} *30[/tex] = [tex]\frac{75}{10}*3[/tex] = 22.5

⇒75% of 30 = 22.5

Part F :

100% of 22.5 = [tex]\frac{100}{100} *22.5[/tex] = 22.5

⇒ 100% of 22.5 = 22.5

Part G :

10% of 22.5 = [tex]\frac{10}{100} *22.5[/tex] = 2.25

⇒ 10% of 22.5 = 2.25

Part H :

50% of 45.7 =  [tex]\frac{50}{100} *45.7[/tex] = [tex]\frac{1}{2}*45.7[/tex] = 22.85

⇒50% of 45.7 = 22.85

what fraction has the greatest value? ​

Answers

Answer:

5/6

Step-by-step explanation:

Answer: 5/6

Step-by-step explanation: 1 whole would be 6/6 and 5/6 is very close to 1 whole

 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

Answers

Given:

[tex]\sin x=-\dfrac{15}{17}[/tex]

x lies in the III quadrant.

To find:

The values of [tex]\sin 2x, \cos 2x, \tan 2x [/tex].

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

[tex]\sin^2 x+\cos^2 x=1[/tex]

[tex](-\dfrac{15}{17})^2+\cos^2 x=1[/tex]

[tex]\cos^2 x=1-\dfrac{225}{289}[/tex]

[tex]\cos x=\pm\sqrt{\dfrac{289-225}{289}}[/tex]

x lies in the III quadrant. So,

[tex]\cos x=-\sqrt{\dfrac{64}{289}}[/tex]

[tex]\cos x=-\dfrac{8}{17}[/tex]

Now,

[tex]\sin 2x=2\sin x\cos x[/tex]

[tex]\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})[/tex]

[tex]\sin 2x=-\dfrac{240}{289}[/tex]

We know that,

[tex]\cos 2x=1-2\sin^2x[/tex]

[tex]\cos 2x=1-2(-\dfrac{15}{17})^2[/tex]

[tex]\cos 2x=1-2(\dfrac{225}{289})[/tex]

[tex]\cos 2x=\dfrac{289-450}{289}[/tex]

[tex]\cos 2x=-\dfrac{161}{289}[/tex]

Using the trigonometric ratios, we get

[tex]\tan 2x=\dfrac{\sin 2x}{\cos 2x}[/tex]

[tex]\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}[/tex]

[tex]\tan 2x=\dfrac{240}{161}[/tex]

Hence, the required values are [tex]\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}[/tex].

In this figure, triangle GHJ is similar to triangle POR.
Based on this information, which ratio represents tan H?

Answers

Answer:8/15

Step-by-step explanation:

Tanθ in a right angle triangle is the ratio of its perpendicular to its base. The ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

As it is given that the two of the given triangles are similar triangles, therefore, their corresponding sides will be in the same ratio.

[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG} = \dfrac{PQ}{GH}[/tex]

Further, the sides can be written as,

[tex]\dfrac{QR}{HJ} = \dfrac{RP}{JG}\\\\\dfrac{QR}{RP} = \dfrac{HJ}{JG}=\dfrac{15}{8}[/tex]

Now, the Tan(∠H) can be written as,

[tex]\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

Substituting the value for the ∠H in ΔHJG,

[tex]\rm Tangent(\angle H) = \dfrac{JG}{HJ}[/tex]

As the ratio is already known, therefore,

[tex]\rm Tangent(\angle H) = \dfrac{8}{15} = 0.5\bar3[/tex]

Hence, the ratio that represents the Tan(∠H) is [tex]\dfrac{8}{15}[/tex].

Learn more about Tangent (Tanθ):

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Complete both and will give brainliest

Answers

Answer:

1)12 people voted

2)60mph

Step-by-step explanation:

Answer:

1. 12 members voted because 25% of 48 is 12

2. 60 miles because 420 divided by 7 is 60

HELP HELP HELP HELP LOOK AT PICTURE

Answers

Answer:

It’s 2.5 minutes per mile

Step-by-step explanation:

Because 10/4 is 2.5 which means he’s riding his bike one mile per every 2.5 minutes.

What is the 100th term in the arithmetic sequence 3,19,...

Answers

Answer:

a=3

d=19-3=16

recall that:Tn=a+(n-1)d

T100=3+(100-1)16

=3+99×16

=3+1584

=1587

Therefore T100=1587

Given Triangle ABC if sides AB is congruent to side AC, and angle B = 5x +9 , C = 8x-30 Then, find the value of X

Answers

Answer:

x = 13

Step-by-step explanation:

When we say side AB is congruent to Side AC it means both side are the same.

This is written Mathematically as:

AB = AC

We are asked to find x

angle B = 5x +9 , angle C = 8x-30

5x + 9 = 8x - 30

Collect like terms

9 + 30 = 8x - 5x

8x - 5x = 30 + 9

3x = 39

Divide both sides by 3

x = 39/3

x = 13

In a game, Ben’s score was 3 times Sam’s score. Together they scored 80 points. Find their scores.

Answers

Answer:

PROBABLY ABOUT 27 OR 26.6666666667

Answer:

Ben's Score = 60

Sam's Score = 20

Step-by-step explanation:

60 + 20 = 80

I really don't know how to explain this.

Find the coordinates of the point for the reflection.
(-8,5) across the x-axis

Answers

Answer:

(-8, -5)

Step-by-step explanation:

If (-8, 5) is reflected across the x-axis, the x-coordinate stays the same (-8), but the y coordinate becomes -5.  Hence the coordinates of the reflection are (-8, -5).

If point (-8, 5) is reflected across the x axis, the new point is (-8, -5)

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

If point (-8, 5) is reflected across the x axis, the new point is (-8, -5)

Find out more on transformation at: https://brainly.com/question/4289712

Fill in the table using this function rule.
Y = -5x + 1

Answers

Answer:

55 or 53.

Step-by-step explanation:

(4,-1), (-5,9) midpoint

Answers

Step-by-step explanation:

(-1/2, 4)

how's this helps

Write the equation of this graph.

Answers

it’s has to be (8,1) because it shows there x, and y

Rewrite the expression with a rational (fraction) exponent:

7Vz

PLEASE HELP ASAP

Answers

Answer:

z^1/7

Step-by-step explanation:

trust me

Round to the nearest tenth.
7.61577310586

Answers

Answer:

7.6

Step-by-step explanation:

1is less than 5 so let it rest

Find the first 5 terms.

Answers

Answer:

15/8

Step-by-step explanation:

PLEASE HELP!!!! Also if your smart with math can you look at my other posts because I am still really confused and there is more than one question per question post thing... Anyways thank you so much but please don't just put a link..........

Answers

Answer:

i,m no smart sorry

Step-by-step explanation:

A biologist was studying a certain species of earthworm. She collected samples of 6 adults from 2 different populations and measured their lengths in centimeters. The data are shown below.

Sample 1: 26, 25, 27, 19, 24, 26

Sample 2: 24, 23, 24, 26, 25, 25

Compare the means and ranges of the data for the 2 samples. Use your comparison to conclude the samples. Show and explain your work.
CAN YOU EXPLAIN WHY ALSO CAN YOU DO THIS AS SOON AS POSSIBLE PLEASE AND THANK YOU?

Answers

Answer:

Calculating the means:

Sum each length from each sample and divide it by the number of worms.

Sample 1: 26 + 25 + 27 + 19 + 24 + 26 = 147/6 = 24.5

Sample 2: 24 + 23 + 24 + 26 + 25 + 25 = 24.5

They each have the same sample mean.

Ranges: Take the largest length and subtract the smallest.

Sample 1: 27 - 19 = 8

Sample 2: 26 - 23 = 3

Sample 1 has a greater range.

f(x) = -2x^2 + 8x -1 Evaluate f(6)​

Answers

Step-by-step explanation:

f(x) = 2x²+ 8x -1

f(6) = 2(6) + 8(6)-1

= 13 + 48 - 1

= 61-1

= 60.

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

Answer:

1. SOH CAH TOA

Sine Opposite Hypotenuse, Cosine adjacent hypotenuse, tangent opposite adjacent

2. 24

find the measure of each interior angle of a regular polygon with the following number of size 6​

Answers

Answer

number of side(n)=6

formula to calculate each interior angle =((n-2)×180)/n

now,

((6-2)×180)/6

(4×180)/6

720/6

120

may this will help you

Answer:

120°

Step-by-step explanation:

n = 6

Work:

[tex]\frac{(n-2) *180}{n} \\\\\frac{(6-2) *180}{6} \\\\\frac{4 *180}{6} \\\\\frac{720}{6} \\\\120[/tex]

3 (x - 6) + 5 (a + 1) - 2 (4x + 2)
someone pleasr help!!

Answers

Answer:

I think the answer is 7x+ 6a

Step-by-step explanation:

3 (x - 6) + 5 (a + 1) - 2 (4x + 2)

3 (-6x) + 5 (1a) -2 (6x)

3x + 6a + 4x

= 7x+ 6a answer!

Item 6 Find the perimeter of the figure. Round your answer to the nearest hundredth.

Answers

Answer:

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

Kosey needs to get 80% of his
questions correct on his math test
to get a B for the quarter. If his
test has 60 questions, how many
questions will he need to get right?

Answers

Answer:

48 questions

Step-by-step explanation:

There are 60 questions on the test

to see how many questions he needs to solve to get 80% we multiply 60 with 80 and divide it by 100

60 x 80 ÷ 100 = 48

STOP SCROLLING HELP ME PLSSSSSS!

Answers

Answer:

use proportions??

Step-by-step explanation:

i

d

k

h

o

w

t

o

do

this i am only in 5th grade yikes

What is the slope of the line that passes through (-2,-2) and (3,-1)?

Answers

Answer:

+1/5

Step-by-step explanation:

Pls help i need it will give brainiest to best answer <33

Answers

If the outer was the out of the data set it would make it “decrease”
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