Question

Which of the following cannot form a right-angled triangle, whose three sides are given below?

• A. 7, 24, 25
• B. 15, 20, 24
• C. 24, 10, 26
• D. 5, 12 , 13

Answer 1

The correct option is B

15, 20, 24

$\left(a\right)7^2+{24}^2=49+576=625={25}^2$
$\therefore$ It is a Pythagorean triplet

$\left(b\right){15}^2+{20}^2=225+400=625\ne {24}^2$
$\therefore$ It is not a Pythagorean triplet

$\left(c\right){24}^2+{10}^2=576+100=676={26}^2$
$\therefore$ It is a Pythagorean triplet

$\left(d\right)5^2+{12}^2=25+144=169={13}^2$
$\therefore$ It is a Pythagorean triplet
$\because$ (15, 20, 24) doesn't form a Pythagorean Triplet, it cannot form a right angled triangle.