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)