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Isosceles Right Triangle
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IsoscelesRightTriangle

A right triangle with the two legs (and their corresponding angles) equal. An isosceles right triangle therefore has angles of 45 degrees, 45 degrees, and 90 degrees. For an isosceles right triangle with side lengths a, the hypotenuse has length sqrt(2)a, and the area is A=a^2/2. The hypotenuse length for a=1 is called Pythagoras's constant.

IsoscelesRightTriangleI
IsoscelesRightTriangleO

The inradius r and circumradius R are

r=1/2(2-sqrt(2))a
(1)
R=1/2sqrt(2)a.
(2)

Polyforms made up of isosceles right triangles are called polyaboloes.

SEE ALSO: 30-60-90 Triangle, Isosceles Triangle, Polyabolo, Right Triangle




CITE THIS AS:

Weisstein, Eric W. "Isosceles Right Triangle." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/IsoscelesRightTriangle.html

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