the height of a triangle is 4 centimeters longer than its base. If the area of the triangle is 22.5 swuare centimeters, then what is the height of the triangle?

Answer 1

okay, so the base of the triangle is (b).
that means the height of the triangle will be (b+4).
since the area of a triangle is (basexheight) and the area is already given as 22.5, then you can find (b) by plugging in the area formula.

(b) x (b+4)= 22.5
b^2 + 4b= 22.5
b^2 + 4b - 22.5= 0

solve by quadratic formula.
**the answer is the positive number, because you can't have a triangle with a side of negative centimeters.

Answer 2

A=1/2bh=1/2 (b)(b+4)
22.5=1/2 (b2+4b)
45=b2+4b
b2+4b-45=0
(b-5)(b+9)=0
b-5=0
b=5
h=b+4=5+4=9

Answer 3

ack. just remembered area of a triangle is (basexheight/2). that makes things easier, and Mary is right.