A right triangle's height is 3 times the length of its base. if the area of the triangle is 726 cm^2, what is the height

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(1) Answers

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Let the length of the base be x.
Height = 3x
Area = 726
[latex] \frac{1}{2} bh[/latex] = 726
[latex] \frac{1}{2}* 3x*x[/latex] = 726
[latex]3 x^{2} [/latex] = 1452
[latex] x^{2} [/latex] = 484
x = 22.
Hence,
The length of the base is 22 cm.
The height of the triangle is 66 cm.