# Can a hypotenuse be irrational?

Table of Contents

- 1 Can a hypotenuse be irrational?
- 2 How do you use irrational numbers when you calculate the length of the hypotenuse of a right triangle?
- 3 How do you find the sides of a triangle with the hypotenuse?
- 4 What is the formula of hypotenuse ²?
- 5 How do you find the hypotenuse of an isosceles right triangle?
- 6 What is the right angle opposite the hypotenuse of a triangle?

## Can a hypotenuse be irrational?

Now when we look at a right angle triangle, both of the shorter sides having length 1, the hypotenuse has length (by Pythogras’ Theorem) equal to square root of 2, which is an irrational number. The same would be true of a line of length 1/3, which as a decimal is .

### How do you use irrational numbers when you calculate the length of the hypotenuse of a right triangle?

New member. The length of the hypotenuse of a right angle triangle having sides that are each 1 cm long is the square root of 2 since a2 + b2 = c2 according to Pythagorean theorem. But the square root of 2 is an irrational number.

#### How do you find the sides of a triangle with the hypotenuse?

If you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle. Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle.

**What is the rule for hypotenuse?**

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

**Can a side of a triangle be irrational?**

a triangle with irrational area does not exists. It’s only possible if one of the three side is irrational. As its the only way to achieve irrational area of a Triangle. Yes, this is possible but approximately if we use the regular 1/2bh formula.

## What is the formula of hypotenuse ²?

The Pythagoras theorem is for a right triangle and it is represented by the formula (Hypotenuse)2 = (Base)2 + (Altitude)2. The largest side of the right triangle is the hypotenuse and the other two sides are the base and the altitude of the triangle.

### How do you find the hypotenuse of an isosceles right triangle?

How do I find the hypotenuse of isosceles right triangle? 1 Find the length of one of the non-hypotenuse sides. 2 Square the length of the side. 3 Double the result of the previous step. 4 Square root the result of step 3. This is the length of the hypotenuse.

#### What is the right angle opposite the hypotenuse of a triangle?

The hypotenuse (longest side) must be “c”. For the sake of simplicity, label the side with the known length as “a,” and the other “b”. Then assign variables A, B, and C to the angles of the triangle. The right angle opposite the hypotenuse will be “C”.

**What does hypotenuse mean in math?**

Hypotenuse Meaning Hypotenuse means, the longest side of a right-angled triangle compared to the length of the base and perpendicular. The hypotenuse side is opposite to the right angle, which is the biggest angle of all the three angles in a right triangle.

**How do you find the hypotenuse of a 30 60 90 triangle?**

If you are given the length of one leg of 30-60-90 right triangle and are asked to find the hypotenuse, it is very easy to do: If you are given the length of the shortest leg (opposite the 30-degree angle,) simply multiply the leg length by 2 to find the length of the hypotenuse.