Is a triangle with sides of length 10 cm 24 cm 27 cm a right triangle?
not a right triangle
#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 #
#10^2 + 24^2 = 100 + 576 = 676#
now 729 ≠ 676 , hence not a right triangle.