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the hypotenuse of an isosceles right triangle is 9cm longer than either of is legs.find the EXACT length length of each side

the hypotenuse of an isosceles right triangle is 9cm longer than either of is legs.find the EXACT length length of each side
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2 Answers

Hi Darlene, I agree with your answer up to the roots that are different than the ones you present, please take a look at your three last steps. 
L2 + L2 = (L+9)2
2L2=L2 + 18L + 81
L2 - 18L - 81 = 0
L1= 21.73 m
The other root is negative and the answer is not common sense.

Comments

You're right. Missed a sign there...brain hiccup. Thanks for the correction!
Hi, Claudia!
 
Start with the formula that relates the sides of a right triangle...
 
(leg)2 + (leg)2 = (hyp)2
 
Let's call the leg x. The hypotenuse would then by x + 9. So...
 
x2 + x2 = (x + 9)2
2x2 = x2 + 18x + 81
x2 - 18x - 81 = 0
(x - 9)(x - 9) = 0
x = 9
 
:)