# What is special about 45 right triangle?

## What is special about 45 right triangle?

A 45 45 90 triangle is a special type of isosceles right triangle where the two legs are congruent to one another and the non-right angles are both equal to 45 degrees.

## What are the lengths of a 45 45 90 triangle?

In its simplest form, the ratios of the length of sides in a 45 45 90 special right angle triangles should be 1 : 1 : 2 1:1:\sqrt{2} 1:1:2 . Recall that the 45 45 90 special right angle triangle is an isosceles triangles with two equal sides and the one larger side (i.e. hypotenuse definition).

Which of the following is true in a 45 45 90 right triangle?

The 45°-45°-90° right triangle is half of a square. The diagonal of a square becomes hypotenuse of a right triangle, and the other two sides of a square become the two sides (base and opposite) of a right triangle.

What are the side lengths of a 90 45 45 Triangle?

A 45°-45°-90° triangle is a special right triangle that has two 45-degree angles and one 90-degree angle. The side lengths of this triangle are in the ratio of; Side 1: Side 2: Hypotenuse = n: n: n√2 = 1:1: √2. The 45°-45°-90° right triangle is half of a square.

### Which of the following is the pattern for 45 90 triangles?

45°-45°-90° Triangles The measures of the sides are x , x , and x√2 . 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.

### Which is a true statement about a 45 45 90 triangle?

Question: Which is a true statement about a 45-45-90 triangle? Each leg is times as long as the hypotenuse. The hypotenuse is times as long as either leg.

Are there any special right triangles in math?

Special Right Triangles Note: Triangles in this section are always right triangles! 45-45-90 Triangles Theorem 1: In a triangle whose angles measure 45 0, 45 0, and 90 , the hypotenuse has a length 0 equal to the product of 2 and the length of either leg. The ratio of the sides of a 45-45-90 triangle are: x: x: x 2 . 45-45-90

Is there such a thing as a 45-45-90 right triangle?

It is also sometimes called a 45-45 right triangle. A right triangle with two sides of equal lengths is a 45°-45°-90° triangle. You can also recognize a 45°-45°-90° triangle by the angles. As long as you know that one of the angles in the right-angle triangle is 45° then it must be a 45°-45°-90° special right triangle.

#### How can you tell if a right triangle is 45° or 90°?

You can also recognize a 45°-45°-90° triangle by the angles. As long as you know that one of the angles in the right-angle triangle is 45° then it must be a 45°-45°-90° special right triangle. A right triangle with a 45° angle must be a 45°-45°-90° special right triangle.

#### What kind of triangle has two sides equal to 45°?

A right triangle with two sides of equal lengths is a 45°-45°-90° triangle. You can also recognize a 45°-45°-90° triangle by the angles. As long as you know that one of the angles in the right-angle triangle is 45° then it must be a 45°-45°-90° special right triangle.