Using the side lengths, determine whether the triangle is acute, obtuse, or right.
answer options: obtuse, acute, right.

The given triangle is obtuse.

Step-by-step explanation:

In the given triangle we have have to determine whether the triangle is right angle, acute or obtuse triangle.

For which the given sides are 16,10 and 12.

We know in a given triangle

If c² = a² + b² then triangle is a right angle triangle.

If c²> a² + b² then triangle is obtuse.

If c² < a² + b² then triangle is acute.

Since 10² + 12² = 100 + 144 = 244

and 16² =256

Therefore 10² + 12² < 16² Or 16² > 10² + 12²

So the given triangle is obtuse by definition.

56

step-by-step explanation: