The side ratio of a 45-45-90 triangle is …
1 : 1 : √2
The side ratio of a 45-45-90 triangle is 1:1:√2. This means that the two legs of the triangle are congruent (equal in length) and the length of the hypotenuse is the square root of 2 times the length of each leg. For example, if one leg of the triangle has a length of 5 units, then the other leg will have the same length (5 units) and the length of the hypotenuse will be √2 × 5 = 7.07 units. This ratio is a unique property of 45-45-90 triangles and makes them useful in solving problems involving right triangles.
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