Respuesta :
Yes, this is a typical pythagorean triad.
Since the theorem is: [tex] c^{2} = a^{2} + b^{2} [/tex]
And by inspection, [tex] 5^{2} [/tex] would be the hypotenuse,
[tex] 5^{2} = 3^{2} + 4^{2} [/tex]
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).
Since the theorem is: [tex] c^{2} = a^{2} + b^{2} [/tex]
And by inspection, [tex] 5^{2} [/tex] would be the hypotenuse,
[tex] 5^{2} = 3^{2} + 4^{2} [/tex]
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).