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Chapter 12: Q14. (page 478)

A right triangular prism has lateral area 120 cm2. If the base edges are 4 cm, 5 cm and 6 cm long, find the height of the prism.

Short Answer

Expert verified

The height of the prism is8 cm.

Step by step solution

01

Step 1. Given information.

The base edges of a right triangular prism are 4肠尘,鈥夆赌�5肠尘,鈥夆赌塧苍诲鈥夆赌�6肠尘and lateral area is120cm2 .

02

Step 2. Write the concept.

The lateral area of the prism is given by:

L.A.=Perimeter脳Height

03

Step 3. Determine the height.

Substitute the given values in the formula:

L.A.=(4+5+6)(h)120=(15)(h)[add]h=8鈥塩尘摆尘耻濒迟颈辫濒测闭

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