Question

A triangular banner has an area of 5ft squared. The height is 3 ft more than the base. Find the base and the

height.

Answer 1

Answer: base a=2ft

height hₐ=5ft

Explanation:

use equation for area of triengle

A=a*hₐ/2

hₐ-height of tringle

a-base of triangle

hₐ=a+3

A=a(a+3)/2

2A=a²+3a

A=5ft

2*5=a²+3a

a²+3a-10=0

a=(-3±√9+40)/2

a=(-3±7)/2

a=-5ft

a=2 ft

hₐ=2+3=5ft