SOLUTION: What is the value of x if the triangle is 15 square yards?
Base of the triangle is x-5
Height of the triangle is 2x + 1
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Question 579844: What is the value of x if the triangle is 15 square yards?
Base of the triangle is x-5
Height of the triangle is 2x + 1
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Area of triangle = 1/2 * base * height
15= 1/2 * (x-5)(2x+1)
multiply by 2
30 = (x-5)(2x+1)
30= x(2x+1)-5(2x+1)
30=2x^2+x-10x-5
30=2x^2-9x-5
add -30
0= 2x^2-9x-35
2x^2-9x-35=0
2x^2-14x+5x-35=0
2x(x-7)+5(x-7)=0
(x-7)(x+5)=0
x=7 OR -5
x=7 since the lengths cannot be negative.
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