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

Answer:

Step-by-step explanation:

Let height = x cm

Base = 3x cm

Area of triangle = 63 cm^2

$\frac{1}{2}*3x*x=63\\\\\frac{1}{2}*3*x^{2}=63\\\\x^{2}=63*\frac{2}{3}\\\\x^{2}=21*2\\x^{2}= 42$

x = 6.48

Height = 6.5 cm