Question

the area of a triangle is 1,140 cm^2. The base of the triangle is 5 times the height. What is the height of the triangle ?

Answer 1

The height of the triangle is 21.35 cm

Explanation:

It is given that the area of the triangle = $1140 cm^2$

Let h be the height of the triangle.

It is also given that the base is 5 times the height.

Thus, $b=5h$

Now, substituting these values in the formula,

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

$1140=\frac{1}{2} \times 5h \times h$

$1140=\frac{5h^2}{2}$

Multiplying both sides by 2,

$2280=5h^2$

Dividing both sides by 5,

$456=h^2$

Taking square root on both sides, we get,

$h=21.35$

Thus, the height of the triangle is $h=21.35cm$