Question

A triangular prism has base edges 2 cm, 6 cm, and 7 cm long. Its lateral area is 330 cm2. What is the height of the prism? cm. The height of the prism is (Simplify your answer.)​

Answer 1

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Answer:

  22 cm

Step-by-step explanation:

The lateral area is the product of the perimeter and the height. The perimeter is the sum of side lengths.

  P = a+b+c = (2 +6 +7) cm = 15 cm

  LA = Ph

  330 cm^2 = (15 cm)h . . . fill in the known values

  h = (330 cm^2)/(15 cm) = 22 cm

The height of the prism is 22 cm.