Question

In an equilateral traingle ABC if AD perpendicular BC then AD square=

Answer 1

Answer:

Then

AD square = AB square - BC square

Step-by-step explanation:

In an equilateral traingle ABC

if AD perpendicular BC

As this is an equilateral triangle a line through a vertex

and perpendicular to opposite side bisects the side

Conveniently we will take that point as " D ".(Because the question is silent on this)

Then for the triangle ABD , Which is a right angled triangle

AB - Hypotenuse

BD - base

AD - hight

So

AD^2 + BC^2 = AB ^2

AD^2 = AB^2 - BC^2

Then AD square = AB square - BC square