Question

Verify that the segment lengths form a triangle. Is the triangle acute, right, or obtuse?

10, 11, 14

Answer 1

the triangle is a right angle triangle

Answer 2

acute

Explanation:

a² + b² = c² ⇒ right triangle

a² + b² > c² ⇒ acute triangle

a² + b² < c² ⇒ obtuse triangle

where a and b are the shorter side measures and c is the longest side measure of a triangle

Given:

• a = 10
• b = 11
• c = 14

a² = 10² = 100

b² = 11² = 121

c² = 14² = 196

a² + b² = 10² + 11² = 221

As 221 > 196, a² + b² > c²

so triangle is acute