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.

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 + 24²
base² = 625
base = 25 cm
The perimeter is 7 + 24 + 25 = 56 cm

Finally the lateral area is
LA = (1/2)*56*30 = 840 cm²

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