A triangular prism has base edges 2 cm​, 4 cm​, and 5 cm long. Its lateral area is 242 cmsquared. What is the height of the​ prism?

Question

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Part 1
The height of the prism is
  
enter your response here cm.

Answer 1

To find the height of the prism, we can use the formula for the lateral area of a triangular prism:

Lateral area = perimeter of base x height

The perimeter of the base of the triangular prism is 2 + 4 + 5 = 11 cm.

Given that the lateral area is 242 cm², we can substitute the values into the formula:

242 = 11h

Solving for h, we get:

h = 242 / 11
h = 22 cm

Therefore, the height of the prism is 22 cm.