Question

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

6.1 cm, 5.4 cm

Answer 1

Triangle Inequality Theorem

For any triangle with sides a, b and x (third side) |a – b| < x < a + b

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

Step 1: Apply given values

Here a = 6.1, b = 5.4

Difference: |6.1 – 5.4| = 0.7

Sum: 6.1 + 5.4 = 11.5

Step 2: Write inequality

0.7 < x < 11.5