The side ratio of a 45-45-90 triangle is …
1 : 1 : √2
The side ratio of a 45-45-90 triangle is always 1:1:√2. In other words, in a triangle where two angles are 45 degrees each, the length of the two legs (the sides opposite to the 45-degree angles) are the same, and the length of the hypotenuse (the side opposite to the right angle) is equal to the length of one of the legs multiplied by √2. For example, if one leg of a 45-45-90 triangle is 5 units long, then the hypotenuse will be 5√2 units long and the other leg will also be 5 units long. This ratio is consistent for all 45-45-90 triangles regardless of their size.
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