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) (Show Source): You can put this solution on YOUR website!
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
My calculator said it, I believe it, that settles it
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