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# 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

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