Question

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

Answer options: obtuse, acute, right.

Answer 1

Acute

Explanation:

A² + B²= C²

A being 10, 12 being B and 16 being C. A nd B should equal C if its a right triangle. If A and B are smaller its acute; If A and B are larger its obtuse

Answer 2

The given triangle is obtuse.

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.