## What sides lengths form a right triangle?

All that you need are the lengths of the base and the height. In a right triangle, the base and the height are the two sides which form the right angle.

### What are the 3 sides of a right triangle?

In a right triangle, the hypotenuse is the longest side, an “opposite” side is the one across from a given angle, and an “adjacent” side is next to a given angle. We use special words to describe the sides of right triangles.

**Do the side lengths 9 12 and 15 form a right triangle?**

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

**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.

### How do you know if it is a right triangle?

The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

**What are the rules for a right triangle?**

**Does 20 25 and 15 represent a right triangle?**

The largest length is always the hypotenuse. If we were to multiply any triple by a constant, this new triple would still represent sides of a right triangle. Therefore, 6, 8, 10 and 15, 20, 25, among countless others, would represent sides of a right triangle.

## Can a 30 40 50 Make a right triangle?

Pythagoras’s Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle.

### Does each set of numbers form a Pythagorean Triple 4 5 6?

For a set of three numbers to be pythagorean, the square of the largest number should be equal to sum of the squares of other two. Hence 4 , 5 and 6 are not pythagorean triple.

**What are the formulas for a 30 60 90 triangle?**

30-60-90 Triangle Rule

Base is given | Perpendicular is given |
---|---|

The perpendicular of the triangle ABC is AB = (a /√3) The hypotenuse of the triangle ABC is AC = (2a)/√3 | The base of the triangle DEF is EF = √3a. The hypotenuse of the triangle DEF is DF = 2a. |

**What are the side lengths of a 30 60 90?**

30°-60°-90° Triangles The measures of the sides are x, x√3, and 2x. In a 30°−60°−90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.