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Y_Kistochka [10]
2 years ago
8

Need help asappppppp​

Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
8 0

Given:

The right triangular prism.

Height of prism = 28 in.

Hypotenuse of base = 25 in.

leg of base = 24 in.

To find:

The lateral surface area of the prism.

Solution:

Pythagoras theorem:

Hypotenuse^2=Perpendicular^2+Base^2

Using Pythagoras theorem in the base triangle, we get

25^2=24^2+Base^2

625-576=Base^2

\sqrt{49}=Base

7=Base

The perimeter of the triangular base is:

P=7+25+24

P=56

Lateral area of a triangular prism is:

A=Ph

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

Putting P=56,h=28 in the above formula, we get

A=56(28)

A=1568

Therefore, the lateral area of the prism is 1568 in².

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