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# Pythagorean Theorem Calculator Find c

'**Online Pythagorean Theorem Calculator Find c**' is an online tool to find the hypotenuse of a right-angled triangle.

## What is Pythagorean Theorem Calculator Find c?

'Online Pythagorean Theorem Calculator Find c' is an online tool to find the hypotenuse of a right-angled triangle. Online Pythagorean Theorem Calculator Find c helps to find the hypotenuse of a right-angled triangle faster, by entering the other two sides of the triangle.

### Pythagorean Theorem Calculator Find c

**NOTE: **Enter values upto three digits only.

## How to Use Pythagorean Theorem Calculator Find c?

Follow these steps which will help you to use the calculator.

**Step 1**: Enter the Height and Base of the traingle.**Step 2**: Click on "**Calculate**" to find the unknown side of the triangle.**Step 3:**Click on "**Reset**" to clear the fields and enter the new values.

## What is Pythagorean Theorem?

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The hypotenuse is the side of the triangle opposite the right angle.

In the given triangle,

- 'b' is the base
- 'a' is the altitude or the height, and
- 'c' is the hypotenuse.

According to the pythagorean theorem, c^{2} = a^{2} + b^{2}

This theorem helps us to calculate the unknown sides of a right-angled triangle. Let us see the following example to understand this better.

**Solved Examples on Pythagorean Theorem Calculator Find c**

**Example 1:**

A right-angled triangle has base 'b' = 12 units, height 'a' = 5 units. What is the length of the hypotenuse 'c'?

**Solution:**

According to Pythagoras theorem,

c^{2} = a^{2} + b^{2}

c^{2} = 5^{2 }+ 12^{2}

c = (5^{2} + 12^{2})^{½} = **√**(5^{2} + 12^{2})

c = **√**169 = 13 units.

Therefore, the length of the hypotenuse 'c' is 13 units.

**Example 2:**

A right-angled triangle has base 'b' = 14 units, height 'a' = 6 units. What is the length of the hypotenuse 'c'?

**Solution:**

According to Pythagoras theorem,

c^{2} = a^{2} + b^{2}

c^{2} = 6^{2 }+ 14^{2}

c = (6^{2} + 14^{2})^{½} = **√**(6^{2} + 14^{2})

c = **√**232 = 15.23 units.

Therefore, the length of the hypotenuse 'c' is 15.23 units.

**Example 3:**

A right-angled triangle has base 'b' = 3 units, height 'a' = 4 units. What is the length of the hypotenuse 'c'?

**Solution:**

According to Pythagoras theorem,

c^{2} = a^{2} + b^{2}

c^{2} = 4^{2 }+ 3^{2}

c = (4^{2} + 3^{2})^{½} = **√**(4^{2} + 3^{2})

c = **√**25 = 5 units.

Therefore, the length of the hypotenuse 'c' is 5 units.

Now, try the calculator to find the hypotenuse of the following right-angled triangles:

- Side a = 6 units and side b = 8 units.
- Side a = 12 units and side b = 5 units.

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