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Arlecino [84]
3 years ago
15

A right triangle's height is 3 times the length of its base. if the area of the triangle is 486, what is the height?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0
The formula of the area of a triangle:
A_\Delta=\dfrac{bh}{2}
b - the bash - the height
We have:
b - the base3b - the height486 - the area

Substitute:
\dfrac{3b\cdot b}{2}=486\ \ \ |\cdot2\\\\3b^2=972\ \ \ |:3\\\\b^2=324\to b=\sqrt{324}\\\\b=16\to h=3b=3\cdot18=54
Answer: The length of the height is equal 54 units.
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