 # What is the 45 45 90 triangle rule?

## 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

1. the second leg is equal to a√3.
2. the hypotenuse is 2a.
3. the area is equal to a²√3/2.
4. 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.