SOLUTION: The height of a triangel is 25 inches grater than its base. The area of the triangle is 625 square inches. The height of the triangle is __ inces and the base of the triange is __

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: The height of a triangel is 25 inches grater than its base. The area of the triangle is 625 square inches. The height of the triangle is __ inces and the base of the triange is __       Log On


   

Question 16700: The height of a triangel is 25 inches grater than its base. The area of the triangle is 625 square inches. The height of the triangle is __ inces and the base of the triange is __ inches.
Answer by pwac(253) About Me  (Show Source):
You can put this solution on YOUR website!
Area of triangle given by%28base%2F2%29%2Aheight
Let base = x
%28x%2F2%29%2A%28x%2B25%29=625multiply both sides by 2
x(x+25)=1250 remove bracket by multipling by x
x%5E2%2B25x=1250 subtract 1250 from both sides
x%5E2%2B25x-1250=0 a quadratic that factors easily to
(x-25)(x+50)=0
x-25=0
x=25
x+50=0
x=-50
so obviously x=25 inches is size of base.
Test by putting this figure into original equation
Pete