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

Question

Mathematics

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1 June, 02:47

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

+4

Answers (1)

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Madalyn Solomon · Answer 1

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

A triangle has the side lengths of 12 cm, 15 cm, and 20 cm. Classify it as acute, obtuse, or right.A) AcuteB) ObtuseC) RightD) There is not enough information

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