SOLUTION: Please help on this question, The Hypotenuse of a right triangle is 2.7 units long. The longer leg is 1.3 units longer thant the shorter leg. Find the lengths of the sides o

Question 118985: Please help on this question,

The Hypotenuse of a right triangle is 2.7 units long. The longer leg is 1.3 units longer thant the shorter leg. Find the lengths of the sides of the triangle.
All I am able to figure out is the formula to use is a^2 + b^2 = c^2. Please help. I am lost from here.
Thank you in advance,
Cheryl
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
A^2+B^2=C^2
X^2+(1.3X)^2=2.7^2
X^2+1.69X^2=7.29
2.69X^2=7.29
X^2=7.29/2.69
X^2=2.71
X=1.6462 ANSWER FOR THE SHORT LEG.
1.3*1.6462=2.14 ANSWER FOR THE LONG LEG.
PROOF.
1.6462^2+2.14^2=2.7^2
2.71+4.58=7.29
7.29=7.29

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