SOLUTION: The sides of a triangle are x, x+7, and x+8 units long. What would the vaule of x have to be for the triangle to be a right triangle ?
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Question 117456: The sides of a triangle are x, x+7, and x+8 units long. What would the vaule of x have to be for the triangle to be a right triangle ?
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
x^2+(x+7)^2=(x+8)^2 this is the equation of a right angle.
x^2+x^2+14x+49=x^2+16x+64
x^2+14x-16x+49-64
x^2-2x-15=0
(x-5)(x+3)=0
x-5=0
x=5 answer.
proof
5^2+12^2=13^2
25+144=169
169=169
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