SOLUTION: The area of a triangle is 70 square centimeters(cm^2). Find the length of the base and the altitude if the base is 13 cm longer than the altitude

Question 916959: The area of a triangle is 70 square centimeters(cm^2). Find the length of the base and the altitude if the base is 13 cm longer than the altitude
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The area of a triangle is 70 square centimeters(cm^2). Find the length of the base and the altitude if the base is 13 cm longer than the altitude
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let x=length of altitude
x+13=length of base
1/2*base*altitude=area of a triangle
1/2*(x+13)*x=70
1/2*(x^2+13x)=70
x^2+13x=140
x^2+13x-140=0
(x-7)(x+20)=0
x=7
x+13=20
length of altitude=7 cm
length of base=20 cm
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