krisalynbrown krisalynbrown

05-01-2020
Mathematics

contestada

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

Respuesta :

Stefanisaska Stefanisaska

06-01-2020

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

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