SOLUTION: the height of a triangle is 4 inches greater than twice its base. The area of the triangle is 168 square inches. what is the base of the triangle?
a. 7 in
b 8 in
c 12 in
d 14 i
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Question 890208: the height of a triangle is 4 inches greater than twice its base. The area of the triangle is 168 square inches. what is the base of the triangle?
a. 7 in
b 8 in
c 12 in
d 14 in
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
the height of a triangle is 4 inches greater than twice its base. The area of the triangle is 168 square inches. what is the base of the triangle?
***
let x=base
2x+4=height
1/2*base*height=area
1/2*x*(2x+4)=168
2x^2+4x=2*168
x^2+2x=168
x^2+2x-168=0
(x+14)(x-12)=0
x=-14 (reject)
or
x=12
base of the triangle=12 inches (ans c)
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