Question

A triangle has a base that is 3 times the height. The area of the triangle is 63 cm^2. Find the height of the triangle. Round your answer to the nearest tenth of a centimeter. (A=1/2bh)

Answer 1

Explanation:

Let height = x cm

Base = 3x cm

Area of triangle = 63 cm^2

`(1)/(2)*3x*x=63\\\\(1)/(2)*3*x^(2)=63\\\\x^(2)=63*(2)/(3)\\\\x^(2)=21*2\\x^(2)= 42\\\\`

x = 6.48

Height = 6.5 cm