SOLUTION: The base of a triangle is 3 inches more than 4 times the height. If the area of the triangle is 38 square inches, find the base and height.
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Question 796655: The base of a triangle is 3 inches more than 4 times the height. If the area of the triangle is 38 square inches, find the base and height.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The base of a triangle is 3 inches more than 4 times the height. If the area of the triangle is 38 square inches, find the base and height.
***
let x=height of triangle
4x+3=base of triangle
Area=(1/2)base*height
(1/2)x(4x+3)=38
4x^2+3x=2*38
4x^2+3x-76=0
(4x+19)(x-4)=0
x=-19/4 (reject)
or
x=4
4x+3=19
..
height of triangle=4 inches
base of triangle=19 inches
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