A right triangle with the two legs (and their corresponding angles) equal. An isosceles right triangle therefore has angles of 
, 
, and 
. For an isosceles right triangle with side lengths
,
the hypotenuse has length 
, and the area is 
. The hypotenuse length
for 
is called Pythagoras's constant.
Polyforms made up of isosceles right triangles are called polyaboloes.
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The inradius 
and circumradius 
are
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(1)
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(2)
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Triangle line picking for points in an isosceles right triangle with edge lengths 
, 
, and 
gives a mean line segment length of
 |  | ![1/(30)[2+4sqrt(2)+(4+sqrt(2))sinh^(-1)1]a](/images/equations/IsoscelesRightTriangle/Inline21.svg) |
(3)
|
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(4)
|
 |  |  |
(5)
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