The side ratio of a 45-45-90 triangle is …
In a 45-45-90 triangle, each of the two acute angles are 45 degrees, and the right angle is 90 degrees
In a 45-45-90 triangle, each of the two acute angles are 45 degrees, and the right angle is 90 degrees. This type of triangle is known as an isosceles right triangle.
The side ratio of a 45-45-90 triangle is 1:1:√2. This means that the lengths of the two legs (the sides opposite the 45 degree angles) are equal to each other, and the length of the hypotenuse (the side opposite the right angle) is equal to the length of one of the legs multiplied by the square root of 2.
To illustrate this, let’s assume one leg has a length of x. Since the triangle is isosceles, the other leg will also have a length of x. The hypotenuse, according to the ratio, will be x√2.
So, the side lengths of a 45-45-90 triangle can be represented as x:x:x√2, or simply as 1:1:√2.
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