# What is right triangle theorem?

## What is right triangle theorem?

The Pythagorean theorem states that: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

What is the formula of right angle?

The formula used for a right-angled triangle is the Pythagoras formula. It states the square of the hypotenuse is equal to the sum of the squares of the other two sides. The Pythagoras formula is (Hypotenuse)2 = (Base)2< + (Altitude)2. This formula has given the Pythagoras triplets such as 3, 4, 5.

Is Pythagorean Theorem used to find area?

Find the area of the square. The diagonal divides the square into two equal right triangles. Remember the sides of a square are all equal in length. The Pythagorean Theorem can be used to find the length of the sides of the square.

### Does a triangle have a right angle?

A triangle can have at most one right angle, or an angle that has a measure of 90°.

What are the side lengths of a 45 45 90 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.

How to calculate the area of a right triangle?

The basic equation is a transformed version of a standard triangle height formula (a * h / 2). Because the right triangle legs are perpendicular to each other, one leg is taken as a base and the other is a right triangle height: area = a * b / 2.

#### Which is the correct angle for a right triangle?

Their angles are also typically referred to using the capitalized letter corresponding to the side length: angle A for side a, angle B for side b, and angle C (for a right triangle this will be 90°) for side c, as shown below.

What is the area of an isosceles right triangle?

Isosceles right triangle is a special right triangle, sometimes called a 45-45-90 triangle. In such triangle the legs are equal in length (as a hypotenuse always must be the longest of the right triangle sides): One leg is a base and the other is the height – there is a right angle between them. So the area of an isosceles right triangle is:

What is the ratio of the sides of a right triangle?

45°-45°-90° triangle: The 45°-45°-90° triangle, also referred to as an isosceles right triangle, since it has two sides of equal lengths, is a right triangle in which the sides corresponding to the angles, 45°-45°-90°, follow a ratio of 1:1:√ 2.