Question

Which of the following are not the sides of a right angled triangle?

• A. 5, 12, 13
• B. 6, 8, 10
• C. 10, 24, 25
• D. 7, 24, 25

Answer 1

The correct option is C 10, 24, 25

In a right angle triangle, sum of squares of two sides is equal to square of the hypotenuse. The hypotenuse is the longest side in the right angle triangle.

$5^2+{12}^2=25+144=169={13}^2$
$6^2+8^2=36+64=100={10}^2$
${10}^2+{24}^2=100+576=676\ne {25}^2$
$7^2+{24}^2=49+576=625={25}^2$

Thus, 10, 24 and 25 are not the sides of a right-angled triangle.