SOLUTION: about how long are the legs of an isosceles right triangle with a hypotenuse that is 10 units long

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Question 352594: about how long are the legs of an isosceles right triangle with a hypotenuse that is 10 units long
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the legs be L.
L%5E2%2BL%5E2=10%5E2
2L%5E2=100
L%5E2=50
highlight%28L=2%2Asqrt%285%29%29 units

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: Use Pythagorean Theorem to solve
Let x be the length of each of the legs of the isosceles right triangle
.
a%5E2+%2B+b%5E2+=+c%5E2
.
x%5E2+%2B+x%5E2+=+10%5E2
.
+2%2Ax%5E2+=+100
.
+x%5E2+=+50
.
+x+=+sqrt%2850%29=sqrt%2825%2A2%29+
.
+x+=+5%2Asqrt%282%29units