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 units 288 sq units class=

Respuesta :

Answer:

Option A is the correct answer.

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.                

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Answer:

A

Step-by-step explanation: