## 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.