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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