Question

3. Suppose a triangle has sides 3, 4, and 6. Which of the following must be true? (Points : 2) The triangle in question is a right triangle. The triangle in question is not a right triangle. The triangle in question may or may not be a right triangle.

Answer 1

verify if it is a RIGHT triangle via pythagorean theorem \[\large a^2 + b^2 = c^2\]

Answer 2

it is not a right angled triangle using \[a ^{2} + b ^{2} = c ^{?}\] \[3^{2} = 9, 4^{2} = 16, 6^{2} = 36\] Therefore it is not a right angled triangle