Question

Which of the following sets of numbers could not represent the three sides of a right triangle?
16,30 34
24, 45, 52
54, 72, 90
9, 12, 15

Answer 1

Answer:

24,45,52

Step-by-step explanation:

apply the Pythagoras theorem

c= hypotenuse (longest side)

a,b= other 2 sides

$\sqrt{a ^{2} + b ^{2} } = c \\ \\ \sqrt{24^{2} + 45^{2} } = c \\ \sqrt{576 + 2025} = c \\ \sqrt{2601} = c \\ 51 = c$

therefore the third side is equal to 51 not 52