Question

The height of a right triangle is 3 times the length of the base. if the area of the triangle is 384 cm2, what is the height, in centimeters?

Answer 1

Let base be x.

Height = 3x

Area = 384 cm²

$\frac{1}{2} bh = 384$

$\frac{1}{2}*x*3x = 384$

$x*3x = 384 * 2$

$3 x^{2} = 768$

$x^{2} = \frac{768}{3}$

$x^{2} = 256$

$x = \sqrt{256}$

x = 16

Hence, the height is 48 cm.