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The base of a triangle is 6 meters longer than the height of the triangle. If the area of the triangle is 56
square meters, what are the base and height of the triangle?
The height is
meters
The base is
meters

PLEASE HELP FOR EXAM

The base of a triangle is 6 meters longer than the height of the triangle If the area of the triangle is 56 square meters what are the base and height of the tr class=

Respuesta :

mlarsen5000

Answer:

Height = 8

Base = 14

Step-by-step explanation:

Base=x+6

Height=x

Area of a triangle is 1/2bh.

1/2·x·(x+6)=56

x²+6x=112

x²+6x-112=0

(x+14)(x-8)=0

x=-14 or x=8

Since x can’t equal a negative number, it must be 8.

Height=x = 8

Base=x+6 = 8+6 = 14

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