Question

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

Answer 1

Height = 8

Base = 14

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