Question

In the picture, ▲ABC is an equilateral triangle. Segment BD is the perpendicular bisector of segment AC. Find the length of BD. Represent your answer in simplest radical form.

Answer 1

Explanation:

since it is an equilateral triangle all sides =8

bit bisector BD AC into equal halfs.so AD=4

bow to find BD use pythagoras theorem

H^2=P^2+B^2

AB^2=AD^2+BD^2

8^2=4^2+BD^2

64-16=BD^2

`√(48)`=BD

4
`√(3)`=BD