Question

The sides of certain triangles are given below. Determine which of them are right triangles.

a = 8 cm, b = 10 cm and c = 6 cm

Answer 1

Given: a = 8 cm, b = 10 cm, c = 6 cm

Step-wise calculation:

1. Identify the largest side:

b = 10 cm  ...(Hypotenuse)

2. Compute squares of the two shorter sides:

8² + 6² = 64 + 36 

= 100

3. Compare with square of largest side:

10² = 100

Since 64 + 36 = 100 = 10², the Pythagorean relation holds.

The triangle is a right triangle (right-angled between the 8 cm and 6 cm sides; hypotenuse = 10 cm).