Asked by Anonymous
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?
Answers
Answered by
Rava
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.
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.
Answered by
Mary
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
Answered by
Rava
ack. just remembered area of a triangle is (basexheight/2). that makes things easier, and Mary is right.