SOLUTION: In a 45 45 90 triangle the length of each leg is 6cm. Find the length of the hypotenuse.

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Question 438893: In a 45 45 90 triangle the length of each leg is 6cm. Find the length of the hypotenuse.
Answer by solver91311(24713) About Me  (Show Source):
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In an isosceles right triangle (45 - 45 - 90), if represents the measure of either leg, then represents the length of the hypotenuse.

Proof:

Let represent the length of one leg and let represent the measure of the hypotenuse.

Then by the Pythagorean theorem.

Collect terms and take the square root of both sides:

QED.

John

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