# Triangle Inequality Theorem Calculator

Triangle Inequality Theorem Calculator' is an online tool that is used to find if a triangle can be formed using the given sides.The Triangle Inequality (theorem)** **says that in any triangle, the sum of any two sides must be greater than the third side. In a triangle, if the sum of any two sides is greater than the third, this means that the difference of any two sides will be less than the third.

## What is Triangle Inequality Theorem Calculator ?

'Triangle Inequality Theorem Calculator' is an online tool that is used to find if a triangle can be formed using the given sides. **Triangle Inequality Theorem Calculator** calculator will get the side lengths of the triangle and validate if a triangle is possible in a few seconds.

### Triangle Inequality Theorem Calculator

## How to Use the Triangle Inequality Theorem Calculator Calculator?

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

**Step 1**: Enter the side lengths in the input box.**Step 2**: Click on "**Calculate**" to find whether triangle can be formed.**Step 3**: Click on "**Reset**" to clear the field and enter a new value.

## What is Triangle Inequality?

Given a triangle with side lengths a,b, and c unit(s), it will satisfy the given inequalities:

- a + b > c
- b + c > a
- c + a > b

Without satisfying these inequalities, no triangle of any dimensions can be formed.

**Solved Examples on Triangle Inequality Theorem Calculator**

**Example 1:**

Given side lengths of 12,13, and 5, find if it is possible to form a triangle.

**Solution: **

Substituting the lengths in the given inequalities:

- 12 + 13 > 5
- 13 + 5 > 12
- 5 + 12 > 13

Hence a triangle is possible using these side lengths.

**Example 2:**

Given side lengths of 3,4, and 5, find if it is possible to form a triangle.

**Solution: **

Substituting the lengths in the given inequalities:

- 3 + 4 > 5
- 4 + 5 > 3
- 3 + 5 > 4

Hence a triangle is possible using these side lengths.

Now use the calculator to find out if a triangle can be formed using:

1) Side lengths = 2,3,5 unit(s)

2) Side length = 7,9,10 unit(s)

**ā Related Articles:**

**ā Math Calculators:**

visual curriculum