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Triangle Inequality Theorem Calculator

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This calculator determines if three given side lengths can form a valid triangle based on the Triangle Inequality Theorem.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Length of Side A, Length of Side B, and Length of Side C in the units shown.

Step 2

Read Is a valid triangle?, Sum of Sides B and C, Sum of Sides A and C, Sum of Sides A and B, and Result in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1: Valid Triangle

Length of Side A: 3 units; Length of Side B: 4 units; Length of Side C: 5 units

Is a valid triangle?: 1; Sum of Sides B and C: 9 units; Sum of Sides A and C: 8 units; Sum of Sides A and B: 7 units; Result: The side lengths can form a triangle.

Example 2: Invalid Triangle

Length of Side A: 1 units; Length of Side B: 2 units; Length of Side C: 5 units

Is a valid triangle?: 0; Sum of Sides B and C: 7 units; Sum of Sides A and C: 6 units; Sum of Sides A and B: 3 units; Result: The side lengths cannot form a triangle.

Example 3: Valid Triangle (Obtuse)

Length of Side A: 5 units; Length of Side B: 7 units; Length of Side C: 9 units

Is a valid triangle?: 1; Sum of Sides B and C: 16 units; Sum of Sides A and C: 14 units; Sum of Sides A and B: 12 units; Result: The side lengths can form a triangle.

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