A right triangular prism has lateral area of 120cm2.

Question

 If the base edges are 4cm, 5cm and 6 cm long, find the height of the prism. (?)?  

 

 

Answer 1

Lateral area of right triangular prism is 120 cm².

Base edges are 4 cm and 5 cm, and long is 6 cm.

Lateral area of right triangular prism LA= P * H, where P = perimeter of the prism and H = height  of the prism.

Perimeter of the base P = a + b + c.

P = 4 + 5 + 6

P = 15.

Lateral area of right triangular prism = P*H

120=15*H

8=H.

Height  of the prism is 8 cm.