What is the extended ratio relating the side lengths of a 45-45-90 triangle?

There are two types of special right triangles, based on their angle measures. The first is an isosceles right triangle. Here, the legs are congruent and, by the Base Angles Theorem, the base angles will also be congruent. Therefore, the angle measures will be 90∘,45∘, and 45∘. You will also hear an isosceles right triangle called a 45-45-90 triangle. Because the three angles are always the same, all isosceles right triangles are similar.

poona2339 poona2339 · Answer 2 · 2022-07-15T10:45:50+02:00

1: 1: √2 1: 1: 2 is the extended ratio

There are two ratios for 45-45-90 triangles:

The ratio of the sides equals 1:1:√2

The ratio of the angles equals 1:1:2

The diagonal will be the hypotenuse of right triangle. You can also construct the triangle using a straightedge or drawing compass: Construct a line segment more than 2 time as long as the desired length of your triangle's leg.

What is the similarities between 45-45-90 triangles?

The 2 side lengths are congruent, and their opposite angles are congruent The hypotenuse (longest side) are the length of either leg times the square root (sqrt) of 2, √2 2 All 45-45-90 triangles are similar by all they have the same interior angles.

Learn more about triangles here https://brainly.com/question/2773823

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