Question

In equilateral Δ ABC, AD Selina Solutions Icse Class 9 Mathematics Chapter - Pythagoras Theorem Proof And Simple Applications With Converse BC and BC = x cm. Find, in terms of x, the length of AD.​

Answer 1

Refer to the attachment..........................

Answer 2

Answer:

Since ABC is an equilateral triangle therefore, all the sides of the triangle are of same measure and the perpendicular AD will divide BC in two equal parts.

Pythagoras theorem states that in a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the remaining two sides.

Here, we consider the and applying Pythagoras theorem we get,

Therefore, the length of AD is 8.7 cm