Solution:
A few tips...
- Pythagoras theorem can ONLY be used in right triangles.
- Usually, the longest side is the hypotenuse.
Option A:
- 6² = 5² + 4²
- => 36 = 25 + 16
- => 36 ≠ 41
The side lengths given are not possible for a right triangle.
Option B:
- 50² = 40² + 30²
- => 2500 = 1600 + 900
- => 2500 = 2500
The side lengths given are possible for a right triangle.
Option C:
- 30² = 20² + 10²
- => 900 = 400 + 100
- => 900 ≠ 500
The side lengths given are not possible for a right triangle.
Option D:
- 4² = 3² + 2²
- => 16 = 9 + 4
- => 13 ≠ 16
The side lengths given are not possible for a right triangle.
In conclusion...
