nurAlexiwolfe
nurAlexiwolfe nurAlexiwolfe
  • 04-05-2016
  • Mathematics
contestada

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

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FluffyFerret FluffyFerret
  • 04-05-2016
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).
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brooklynnsumms10 brooklynnsumms10
  • 23-11-2020

Answer:

Yes

Step-by-step explanation:

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