Table of Contents

## What is the 45 45 90 triangle rule?

The main rule of 45-45-90 triangles is that it has one right angle and while the other two angles each measure 45° . The lengths of the sides adjacent to the right triangle, the shorter sides have an equal length.

## What is the formula of 45-degree triangle?

Using the pythagorean theorem – As a right angle triangle, the length of the sides of a 45 45 90 triangle can easily be solved using the pythagorean theorem. Recall the pythagorean theorem formula: a 2 + b 2 = c 2 a^2+b^2=c^2 a2+b2=c2.

**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 45°-45°-90° right triangle is sometimes referred to as an isosceles right triangle because it has two equal side lengths and two equal angles.

**Which of the following is true about the hypotenuse of a 45 45 90 right 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 find the properties of a 30 60 90 triangle?

How to solve a 30 60 90 triangle? 30 60 90 triangle formula

- the second leg is equal to a√3.
- the hypotenuse is 2a.
- the area is equal to a²√3/2.
- the perimeter equals a(3 + √3)

### How do you know if it’s a 30 60 90 triangle?

A 30-60-90 triangle is a special right triangle (a right triangle being any triangle that contains a 90 degree angle) that always has degree angles of 30 degrees, 60 degrees, and 90 degrees. Because it is a special triangle, it also has side length values which are always in a consistent relationship with one another.

**What have you observed in a 45 45 90 right triangle Aside from the two legs are congruent The sides are also?**

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.

**Is 45 degrees an obtuse angle?**

Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

#### Which is true about the legs of a 45 45 90 triangle?

45 45 90 triangle rules and properties 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.

#### What type of triangle is a 45 45 90 right triangle scalene equilateral acute isosceles?

A 45-45-90 triangle is a right triangle having interior angles measuring 45°, 45°, and 90°. A 45-45-90 triangle is also an isosceles triangle, which means its two legs are equal in length.