Question

Find the lateral area for the pyramid with the equilateral base.

144 sq. units
180 sq. units
288 sq. units

Answer 1

A

Step-by-step explanation:

Answer 2

Option A is the correct answer.

Step-by-step explanation:

The given pyramid has 3 lateral triangular side as shown below.

Base of triangle = 12 unit

We need to find perpendicular.

By Pythagoras theorem we have

Perpendicular² = 10²-6²

Perpendicular = 8 unit

So area of 1 lateral triangle = 1/2 x Base x Perpendicular.

= 1/2 x 12 x 8 = 48 unit²

Area of lateral side = 3 x 48 = 144 unit²

Option A is the correct answer.