The height of a triangle is four times the length of the base. What is the base and height of the triangle if the area is 18 square inches?

1 Answer
Dec 19, 2015

color(white)(xx)a=3 and h=12

Explanation:

Let height be h, base be a, and area be A:

color(white)(xx)h=4a

color(white)(xx)(ah)/2=A color(white)(xxxxxxxxxxxxx)(area formula)
=>color(red)(4a^2)/2=color(red)18
=>color(red)(1/2xx)(4a^2)/2=color(red)(1/2xx)18

Take the squareroot of both sides:
=>sqrt(a^2)=sqrt9
=>a=3

color(white)(xx)h=4xx3
color(white)(xxx)=12