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

• A. $A$
• B. $B$
• C. $C$
• D. $D$

Answer 1

The correct option is C

$C$

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.
Hence Options A, B, D can form a right angled triangle while C can not.
$5^2+{12}^2=25+144=169={13}^2$
$6^2+8^2=36+64=100={10}^2$
${10}^2+{24}^2=100+576=676\ne {25}^2$
$7^2+{24}^2=49+576=625={25}^2$