math ( help)

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If I told you a triangle with sides 45 cm, 60 cm, and 75 cm was a right triangle, how would you verify my statement? Develop an argument to convince yourself and your partner that my statement is correct.

  • math ( help) -

    it's just a scaled-up 3-4-5 right triangle.

    You can check to see whether 45^2 + 60^2 = 75^2

    it does

  • math ( help) -

    45^2 + 60^2 = 75^2 ??

    2025 + 3600 = 5625

    5625 = 5625

    Yes! The Pythagorean Theorem proves it's a right triangle.

  • math ( help) -

    I know that a 3, 4 , 5 triangle is a right triangle
    but I can prove it easily anyway because
    9 + 16 = 25 or in other words a^2+b^2=c^2

    now multiply each side by 15 and get
    45, 60 , 75 :)

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