Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?

1. acute, because 62 + 102 < 122

2. acute, because 6 + 10 > 12

3. obtuse, because 62 + 102 < 122

4. obtuse, because 6 + 10 > 12

Question

Frankfurter

Mathematics

11 May, 19:05

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?

1. acute, because 62 + 102 < 122

2. acute, because 6 + 10 > 12

3. obtuse, because 62 + 102 < 122

4. obtuse, because 6 + 10 > 12

+2

Answers (1)

Know the Answer?

Stein · Answer 1

The answer is 3. obtuse, because 62 + 102 c^2, then the triangle is acute. If a^2 + b^2 = c^2, then the triangle is right. If a^2 + b^2 < c^2, then the triangle is obtuse. So, a = 6 cm, b = 10 cm, and c = 12 cm. Let's check if 6^2 + 10^2 is equal to 12^2. 6^2 + 10^2 = 12^2. 36 + 100 = 144. 136 < 144. Therefore, the triangle is obtuse.

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?1. acute, because 62 + 102 < 1222. acute, because 6 + 10 > 123. obtuse, because 62 + 102 < 1224. obtuse, because 6 + 10 > 12

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?

1. acute, because 62 + 102 < 122

2. acute, because 6 + 10 > 12

3. obtuse, because 62 + 102 < 122

4. obtuse, because 6 + 10 > 12