Algebra

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Which of the triangles described in the table is a right triangle?
side 1 side 2 side3

q 25 20 15

r 26 20 46

s 25 20 1025

t 25 26 650

I think that it is R

  • Algebra -

    The answer is S.

    A right angle triangle follows Theorem Phytagoras rule. The sum of squares of 2 sides = length of the 3rd side

    For S, 25^2 + 20^2 = 1025

  • Algebra -

    Not quite. sum of squares is the square of the 3ed side.

    We all know of the 3-4-5 triangle.
    Scale that up by a factor of 5 and you get a 15-20-25 triangle. (q)

    (s) and (t) are just way off. We know that for any triangle, each side is less than the sum of the other two.

  • Algebra -

    Square of the 3rd side is the hypothenuse.
    If we square root 1025, we'll get 5sqrt(41).

    5sqrt(41) - 20^2 = 625 = 25^2

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