SOLUTION: I'm supposed to show that for an isosceles right triangle, where c is the hypotenuse and a is one leg,c=a*the square root of 2.

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Question 190486This question is from textbook BJU Press Geometry
: I'm supposed to show that for an isosceles right triangle, where c is the hypotenuse and a is one leg,c=a*the square root of 2. This question is from textbook BJU Press Geometry

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


If it is an isosceles right triangle, then both of the legs are the same length, namely a, because of the definition of isosceles.

Pythagoras' Theorem says:



But for this triangle, so:



John


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