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22 May, 11:56

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

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Answers (2)
  1. 22 May, 15:12
    0
    Yes.

    Step-by-step explanation:

    Yes, because the sides satisfy the Pythagoras theorem:

    5^2 = 3^2 + 4^2

    25 = 9 + 16

    25 = 25.

    Only a right triangle has this property.
  2. 22 May, 15:51
    0
    We can use the Pythagorean theorem to test this.

    a^2+b^2=c^2

    If 3^2+4^2 is equal to 5^2 then it can be right angled.

    3^2+4^2 = 25

    5^2 = 25

    Therefore it can be a right angled triangle.

    Tip:

    Learn a couple common Pythagorean triples to answer via inspection. These are 3 numbers that are always in a right angled triangle. If you know two of them, you'll know the third.

    3; 4; 5

    6; 8; 10

    5; 12; 13

    9; 12; 15
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