Question

The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?

Answer 1

Yes

Explanation:

Answer 2

Yes, this is a typical pythagorean triad.

Since the theorem is:
`c^(2) = a^(2) + b^(2)`
And by inspection,
`5^(2)` would be the hypotenuse,

`5^(2) = 3^(2) + 4^(2)`
25 = 9 + 16
RHS = 9 + 16 = 25 = LHS
Therefore, we have proved that the values fit into pythagoras' theorem, which means that the triangle is a right triangle (that is the central idea of this theorem).