Question

Is a triangle with sides of length 10 cm 24 cm 27 cm a right triangle?

Answer 1

not a right triangle

Explanation:

Use the `color(blue)" Converse of Pythagoras' Theorem "`

Pythagoras' Theorem states ' the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other
2 sides '

The converse of this is ' if the square on the longest side of a triangle equals the sum of the squares on the other 2 sides then the triangle is right'.

`"(longest side)^2" = 27^2 = 729`

and `10^2 + 24^2 = 100 + 576 = 676`

now 729 ≠ 676 , hence not a right triangle.