SOLUTION: Please Help Me with this question! The Length of one leg of an isosceles right triangle is 6 inches. Express the length of the hypotenuse in simplest radical form. Thank you,

Question 343299: Please Help Me with this question!
The Length of one leg of an isosceles right triangle is 6 inches. Express the length of the hypotenuse in simplest radical form.
Thank you, in advance.
Found 2 solutions by fractalier, MathTherapy:
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
If it is isosceles, then both legs are length 6 inches.
We can use the short-cut ratio for isosceles right triangles ==> 1:1:sqrt(2)
and get 6:6:6*sqrt(2)...
Thus the hypotenuse is
We could also use the Pythagorean Theorem, but this is far easier...
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Please Help Me with this question!
The Length of one leg of an isosceles right triangle is 6 inches. Express the length of the hypotenuse in simplest radical form.

Since this triangle is a right triangle, the legs will have the same measure, and since one leg is 6 inches, then the other is 6 inches also.

Now, using the pythagorean formula, , with "c" being the length of the hypotenuse, and both "a" and "b" the legs,we get:

_____Taking the square root of each side of equation in order to isolate c, the hypotenuse

______Ignoring the negative value as measurements CAN NOT be expressed with negatives values
_______
c, or hypotenuse =
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