Question

The triplet cannot be the lengths of sides of a right angled triangle.

• A. 3, 4, 5
• B. 8, 15, 17
• C. 7, 24, 25
• D. 5, 6, 7

Answer 1

The correct option is D 5, 6, 7

From right angled triangle or Pythagoras property, the square of the hypotenuse is equal to the sum of the squares of its legs.
Here,
$3^2+4^2=5^2{8}^2+{15}^2={17}^2{7}^2+{24}^2={25}^2{5}^2+6^2\ne 7^2$
Hence, 5,6,7 triplet does not make a right angle triangle.