The correct answer is:
It is an obtuse triangle.
Explanation:
We use the Pythagorean Theorem to determine what type of triangle we have, based on the side lengths.
If a² + b² = c², the triangle is a right triangle.
If a² + b² < c², the triangle is an obtuse triangle.
If a² + b² > c², the triangle is an acute triangle.
Using 8 for a, 9 for b and 14 for c, we have:
8² + 9² and 14²
8² + 9² = 64+81 = 145
14² = 196
145 < 196; therefore a² + b² < c², and the triangle is obtuse.
Answer: obtuse
Step-by-step explanation:
a^2 + b^2 < c^2
= obtuse
