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9 May, 23:58

Which side lengths form a right triangle?

Choose all answers that apply:

Choose all answers that apply:

(Choice A, Checked)

A

11, 13, / sqrt{290}11,13,

290



11, comma, 13, comma, square root of, 290, end square root

(Choice B, Checked)

B

7, 24, 257,24,257, comma, 24, comma, 25

(Choice C)

C

2, 5, 72,5,7

+2
Answers (1)
  1. 10 May, 01:01
    0
    Options A and B are applicable.

    Step-by-step explanation:

    The lengths of the sides of a right triangle obey the Pythagoras Theorem that says (Perpendicular) ² + (Base) ² = (Hypotenuse) ².

    Now, in option A, the side lengths are 11, 13, and √ (290).

    So, those lengths form a right triangle as 11² + 13² = {√ (290) }².

    Again, in option B, the given side lengths are 7, 24, and 25.

    So, those lengths form a right triangle as 7² + 24² = 25².

    Finally, in option C, the given side lengths are 2, 5, and 7.

    But, those lengths do not form a right triangle as 2² + 5² ≠ 7².

    Therefore, options A and B are applicable. (Answer)
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