SOLUTION: A rectangle has a diagonal that measures 10 centimeters and a length that is 2 centimeters longer than the width.What is the width of the rectangle in centimeters?

Question 288262: A rectangle has a diagonal that measures 10 centimeters and a length that is 2 centimeters longer than the width.What is the width of the rectangle in centimeters?
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
a^2+b^2=c^2
a^2+(a+2)^2=10^2
a^2+a^2+4a+4=100
2a^2+4a+4-100=0
2a^2+4a-96=0
2(a^2+2a-48)=0
2(a+8)(a-6)=0
a-6=0
a=6 cm. ans. for the short side.
6+2=8 cm. ans. for the long side.
Proof:
6^2+8^2=100
36+64=100
100=100
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