Question

Which of the following sets could be the sides of a right triangle? {2, 3,square root 10} {3, 5, square root 34} {5, 8, 12}

Answer 1

Option 2 is correct.

Explanation:

For right triangle

The pythagoras theorem should satisfy

The square of longest side should be equal to the sum of square of other two sides

`c^2=a^2+b^2`

Case1:

We have
`(2,3,√(10))`

If we substitute in the formula

`c=√(10),a=2,b=3` we get:

`10\\eq9+2`

which does not satisfy the condition.

Case2:

We have
`(3,5,√(34))`

If we substitute in the formula

`c=√(34),a=3,b=5` we get:

34=25+9

which satisfies the condition.

Hence, option 2 is correct.