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21 July, 04:19

A triangle has the side lengths of 12 cm, 15 cm, and 20 cm. Classify it as acute, obtuse, or right.

A) Acute

B) Obtuse

C) Right

D) There is not enough information

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Answers (1)
  1. 21 July, 07:35
    0
    Obtuse

    Step-by-step explanation:

    Plugging the numbers into the Pythagorean Theorem (a^2 + b^2 = c ^2)

    20^2 = 12^2 + 15^2

    400 > 144 + 225

    400 > 369

    Because of the Converse of the Pythagorean Theorem, which tells us if c is greater than a+b, it is obtuse
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