Question

What are the limits between which the third side of the triangle lies if the following are its two sides?

7.2 cm, 5.9 cm

Answer 1

Triangle Inequality Theorem

For any triangle with sides a, b and x (third side), the inequality is

|a – b| < x < a + b

This ensures the sum of any two sides is greater than the third and the difference of any two sides is less than the third.

Step 1: Apply given values

Here a = 7.2, b = 5.9

Difference: |7.2 – 5.9| = 1.3

Sum: 7.2 + 5.9 = 13.1

Step 2: Write inequality

1.3 < x < 13.1

The third side must lie between 1.3 cm and 13.1 cm.