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1 April, 12:45

The base of a triangular prism is a right triangle whose legs are 7 cm and 24 cm. The height of the prism is 30 cm. What is the lateral area of the prism? Explain how you found your answer.

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  1. 1 April, 16:06
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    The formula of a lateral area of a triangular prism is

    LA = (1/2) * (perimeter of a triangle) * h

    The perimeter of a triangle is the total of all sides.

    Since the length of the base of a triangle is not given yet, use the Pythagorean theorem

    base² = 7² + 24 ²

    base ² = 625

    base = 25 cm

    The perimeter is 7 + 24 + 25 = 56 cm

    Finally the lateral area is

    LA = (1/2) * 56*30 = 840 cm ²
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