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

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

Find the lateral area for the pyramid with the equilateral base. 144 sq. units 180 sq-example-1
User Ste
by
5.8k points

2 Answers

4 votes

Answer:

A

Step-by-step explanation:

User Shifatul
by
5.6k points
4 votes

Answer:

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.

Find the lateral area for the pyramid with the equilateral base. 144 sq. units 180 sq-example-1
User Optimal Cynic
by
5.9k points