Question

The height of a triangle is 6 m more than its base. The area of the triangle is 56 m?. What is the length of the base? Enter your answer in the box.

Answer 1

Answer:

Height = 14

Base = 8

Step-by-step explanation:

h=6+b

a=(1/2)bh

a=56

56=(1/2)bh

times 2 both sides

112=bh

h=6+b

112=b(6+b)

112=b²+6b

minus 112 both sides

0=b²+6b-112

factor

what 2 numbers multily to get -112 and

add to get 6

-8 and 14

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

set to zero

b-8=0

b=8

b+14=0

b=-14

false, measures can't be negative

base=8

h=6+b

h=6+8

h=14

height=14

base=8