SOLUTION: The height (H) of triangles of fixed area varies inversely as the base (B). Suppose the height is 50 cm when the base is 40 cm. Find the height when the base is 8 cm. What is the a

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Question 1173663: The height (H) of triangles of fixed area varies inversely as the base (B). Suppose the height is 50 cm when the base is 40 cm. Find the height when the base is 8 cm. What is the area?
My answer for the height when base is 8 cm is 250 cm. Is it correct? Thank you.
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
We can express the inverse relationship as H = k/B, where k is a constant
When H = 50, B = 40 -> 50 = k/40 -> k = 2000
H = 2000/8 = 250 cm
The area of a triangle is given by BH/2 -> 250*8/2 = 1000 cm^2