Question

The area of a triangle is given by the equation b^{2}+10b=144 where b is the base of the triangle. What is the length of the base?

Answer 1

\[b^{2}+10b=144\]

Answer 2

since the area of the triangle is b^2 + 10b = 144, then
b^2 + 10b -144 = 0

now factor so we can find possible values of b:
(b + 18)(b - 8) = 0

you have two solutions here but only one will answer your question.

Answer 3

Answer choices are 8, 9, 12, 16, 18

Answer 4

b^2+10b-144=0
(b+18)(b-8)=0
b=-18(which is invalid as length should be in positive value)
so the answer is b=8

Answer 5

b(b+10)=144=8*18....b=8