Question

Which of the following can be the sides of a right-angled triangle?

• A. $1,1,\sqrt{3}$
• B. 3, 3, 3
• C. 3, 4, 5
• D. 4, 5, 6

Answer 1

The correct option is C 3, 4, 5

In a right-angled triangle, square of the largest side is the sum of the squares of the other 2 sides.

$In1,1,\sqrt{3},(\sqrt{3}{)}^2\ne 1^2+1^2$

$In3,3,3,(3{)}^2\ne 3^2+3^2$

$In3,4,5,(5{)}^2=3^2+4^2$

$In4,5,6,(6{)}^2\ne 4^2+5^2$

So, 3, 4, 5 are the possible sides of a right-angled triangle.