# How do you find the side lengths of a 45 45 90 Triangle?

## How do you find the side lengths of a 45 45 90 Triangle?

45 45 90 triangle sides The legs of such a triangle are equal, the hypotenuse is calculated immediately from the equation c = a√2 . If the hypotenuse value is given, the side length will be equal to a = c√2/2 .

## What is the length of a leg in a 45 45 90 triangle if hypotenuse is 8?

The length of hypotenuse is 8√2 .

## How do you find the length of the hypotenuse of a 45 45 90 Triangle multiply the length of one of the legs by?

There is a ratio that all you need to do is take one of the legs and multiple by the square root of two to get the length of the hypotenuse. The two legs of a 45 45 90 are the same, and two times the square root two gives us the length of the hypotenuse.

## What is the hypotenuse of a 45 45 90 triangle?

√2 times
In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

## How do you find a hypotenuse?

The hypotenuse is termed as the longest side of a right-angled triangle. To find the longest side we use the hypotenuse formula that can be easily driven from the Pythagoras theorem, (Hypotenuse)2 = (Base)2 + (Altitude)2. Hypotenuse formula = √((base)2 + (height)2) (or) c = √(a2 + b2).

## What is the length of the hypotenuse of a 45 45 90 Triangle?

In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle.

## How do you solve a 45 45 90 triangle with only the hypotenuse?

When given the length of the hypotenuse of a 45°-45°-90° triangle, you can calculate the side lengths by simply dividing the hypotenuse by √2. Note: Only the 45°-45°-90° triangles can be solved using the 1:1: √2 ratio method. The hypotenuse of a 45°; 45°; 90° triangle is 6√2 mm.

## How to find leg length and hypotenuse of a 45 45 90 triangle?

How To Find Leg Lengths and Hypotenuse of a 45 45 90 Triangle 1 The angles, the two acute angles are two 45 degree angles, and are congruent. 2 Let’s look at the rules for 45- 45 -90. If you know one leg you know the other leg… 3 The two legs of a 45 45 90 are the same, and two times the square root two gives us the length…

## Why is a 45 45 90 triangle a special right triangle?

A 45 45 90 triangle is a special right triangle because you can use short cuts to find leg length and hypotenuse length. This video solves two problems involving leg length and hypotenuse length. A 45-45-90 triangle is an isosceles triangle, which means two sides are the same, has a right angle.

## What is the hypotenuse of a triangle?

The diagonal cuts a square into two right triangles with the legs of the triangle being the sides of the square and the hypotenuse is the diagonal of the triangle. Using Pythagorean Theorem we get:

## What are the rules for a 90 degree triangle?

Triangles (set squares). The red one is the 45 45 90 degree angle triangle The most important rule is that this triangle has one right angle, and two other angles are equal to 45°. It implies that two sides – legs – are equal in length and the hypotenuse can be easily calculated.