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

height.

Question

Mathematics

Nolan Atkins

8 August, 08:33

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

height.

+5

Answers (1)

Know the Answer?

Soren Maxwell · Answer 1

Answer: base a=2ft

height hₐ=5ft

Step-by-step 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

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

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

height.