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

asked Dec 18, 2020 173k views

2 Answers

Dawnette · Answer 1 · 2020-12-23T06:55:54+0000

Answer:

Obtuse

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