Question

A triangle has 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.

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, we know the answer to be obtuse. I hope this makes since!!

Answer 2

The correct answer among all the other choices is B. obtuse. The triangle that has side lengths of 12 cm, 15 cm, and 20 cm can be classified as obtuse. Thank you for posting your question. I hope this answer helped you. Let me know if you need more help.