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

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.

L

^{2}+ L^{2}= (L+9)^{2}2L

^{2}=L^{2}+ 18L + 81L

^{2}- 18L - 81 = 0L1= 21.73 m

The other root is negative and the answer is not common sense.

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