Answers
Answer step-by-step
If triangle ABC is equilateral then the value of x is 3.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
ABC is an equilateral triangle.
AD is the perpendicular bisector of CB
As AC=8 units.
The other sides of triangle will be also 8 units.
D will be the midpoint of CB.
CD=4 units and DB is 4 units.
Let us consider triangle ACD
AC²=CD²+AD²
8²=4²+x²
64=16+x²
Substitute 16 from both sides.
64-16=x²
48=x²
Take square root on both sides.
x=√48
=√16×3
=4√3
Hence, if triangle ABC is equilateral then the value of x is 3.
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