The 45-45-90 theorem, also known as the isosceles right triangle theorem, states that in an isosceles right triangle, the two legs are congruent to each other and the hypotenuse is equal to the square root of 2 times one of the legs.
In mathematical terms, if we let "x" be the length of each leg and "y" be the length of the hypotenuse, then the theorem can be expressed as:
x = y / square root of 2
y = x * square root of 2
This theorem is useful in geometry as it helps to find the side lengths of an isosceles right triangle when only one length is given.
45-45-90
right triangle theorem
definition
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