Find the surface area of a triangular prism. The sides of the right triangular base measures 9 centimetres, 12 centimetres and 15 centimetres . The height of the prism is 20 centimetres

Given:

The sides of the right triangular base measures 9 cm, 12 cm and 15 cm.

The height of the prism is 20 cm.

To find:

The surface area of a triangular prism.

Solution:

We know that, the area of a triangular prism is

Where, P is the perimeter of the triangular base and h is the height of the prism.

The sides of the right triangular base measures 9 cm, 12 cm and 15 cm. So, the perimeter of the right triangular base is

Now, the area of the triangular prism is

Therefore, the surface area of a triangular prism is 720 square centimetres.

50

step-by-step explanation:

m∠a is 90°

m∠b is 40°