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39 votes
39 votes
The area of a triangle is 30 square inches.

The base of the triangle is x - 6 inches,
and the height is x + 5 inches.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh

x=
base=
height=

User John Trammell
by
2.4k points

1 Answer

10 votes
10 votes

Answer:

x=10

base=4inches

height=15inches

Explanation:

A=1/2bh

30=1/2(x-6)(x+5)

60= x²+5x-6x-30

x²-x-90=0

x²-10x+9x-90=0

x(x-10) +9(x-10)=0

(x+9)(x-10)=0

x= -9 or 10

x cannot be negative

Therefore x= 10

base= 10-6

=4inches

height=10+5

=15inches

User Vedran Kopanja
by
3.0k points