Express the area A of an isosceles right triangle as a function of the length x of one of the two equal sides.

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- Jan 18th 2007, 02:00 PMsymmetryIsosceles Right Triangle
Express the area A of an isosceles right triangle as a function of the length x of one of the two equal sides.

- Jan 18th 2007, 02:06 PMThePerfectHacker
The hypotenuse is and this is a 45-45-90 Triangle.

Thus, the equal sides are

That means the area is,

- Jan 18th 2007, 02:18 PMsymmetryok
Great but tell me:

how did you get x/sqrt{2}?

Shouldn't we RATIONALIZE the denominator? - Jan 22nd 2007, 05:48 AMearboth
- Jan 22nd 2007, 05:51 AMQuick
- Jan 22nd 2007, 02:21 PMsymmetryok
What a great reply! I thank you.

Earboth,

Tell me, how do you make lovely geometric pictures?