Question
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.
Question content area bottom
Part 1
The height of the prism is
enter your response here cm.
Answers
GPT 3.5
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.
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.