A triangle has angle measurements of 79°, 90°, and 11°. What kind of triangle is it?acuterightobtuseSubmit

To classify the triangle based on its angle measurements, we can break down the problem as follows:

1. Break Down the Problem

We have three angle measurements:

• $79^\circ$
• $90^\circ$
• $11^\circ$

We need to determine if the triangle is acute, right, or obtuse based on these angles.

2. Relevant Concepts

• A triangle is classified as:
  • Acute Triangle: All angles are less than $90^\circ$.
  • Right Triangle: One angle is exactly $90^\circ$.
  • Obtuse Triangle: One angle is greater than $90^\circ$.

3. Analysis and Detail

• Observing the angle measurements:
  • $79^\circ$ is less than $90^\circ$.
  • $90^\circ$ is equal to $90^\circ$.
  • $11^\circ$ is less than $90^\circ$.

Since one angle is exactly $90^\circ$, we can conclude that this triangle is classified as a right triangle.

4. Verify and Summarize

The presence of the $90^\circ$ angle confirms that this is a right triangle. There are no measurements greater than $90^\circ$, thus refuting the possibility of it being an obtuse triangle.

Final Answer

The triangle is a right triangle.