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?

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asked May 21, 2019 25.3k views

1 Answer

Floatingpurr · Answer 1 · 2019-05-26T10:39:28+0000

The formula of the area of a triangle:

$A_\Delta=(bh)/(2)$
b - the bash - the height
We have:
b - the base3b - the height486 - the area

Substitute:

$(3b\cdot b)/(2)=486\ \ \ |\cdot2\\\\3b^2=972\ \ \ |:3\\\\b^2=324\to b=√(324)\\\\b=16\to h=3b=3\cdot18=54$
Answer: The length of the height is equal 54 units.

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?

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