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