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# Can Pythagoras be used on any right triangle?

## Can Pythagoras be used on any right triangle?

Pythagoras’ theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not.

What triangles can be a right triangle?

A right triangle has one angle equal to 90 degrees. A right triangle can also be an isosceles triangle–which means that it has two sides that are equal. A right isosceles triangle has a 90-degree angle and two 45-degree angles. This is the only right triangle that is an isosceles triangle.

Are hypotenuse of a right triangle?

A hypotenuse is the longest side of a right triangle. It’s the side that is opposite to the right angle (90°). Hypotenuse length may be found, for example, from the Pythagorean theorem.

### What triangles Cannot be a right triangle?

Any triangle that is not a right triangle is an oblique triangle. Solving an oblique triangle means finding the measurements of all three angles and all three sides.

What do you call the longest side of a right triangle?

hypotenuse
The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.

Does 4 5 6 make right triangles?

The three numbers 4, 5, 6 make a Pythagorean Triple (they could be the sides of a right triangle).

## What are the rules of a right triangle?

Right Angle Triangle Properties

• One angle is always 90° or right angle.
• The side opposite angle 90° is the hypotenuse.
• The hypotenuse is always the longest side.
• The sum of the other two interior angles is equal to 90°.
• The other two sides adjacent to the right angle are called base and perpendicular.

Can 1 acute and 2 right form a triangle?

A right triangle will have 1 right angle and 2 acute angles.

How do you find a 30 60 90 Triangle?

30-60-90 Triangle Ratio

1. Short side (opposite the 30 degree angle) = x.
2. Hypotenuse (opposite the 90 degree angle) = 2x.
3. Long side (opposite the 60 degree angle) = x√3.

### How do you tell if its a 30 60 90 Triangle?

Remembering the 30-60-90 triangle rules is a matter of remembering the ratio of 1: √3 : 2, and knowing that the shortest side length is always opposite the shortest angle (30°) and the longest side length is always opposite the largest angle (90°).

What kind of triangle is 5 12 13?

What is a 5 12 13 Triangle? The 5 12 13 triangle is an SSS special right triangle with the ratio between its side lengths as 5, 12, and 13. It is a common Pythagorean triple that is worth memorizing to save time when dealing with right triangles. The other common SSS special right triangle is the 3 4 5 triangle.

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.

## When do you use a right triangle calculator?

This type of triangle can be used to evaluate trigonometric functions for multiples of π/6. 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.

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.

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