Math Problem Statement

Classify Triangles by Angles: __________ - angles whose measure is __________ 90°, but __________ than 0°. Triangle with __________ acute angles.

Solution

The image is a worksheet question about classifying triangles by their angles. Here's the complete and corrected version based on the given information:

  1. Acute - angles whose measure is less than 90° but greater than 0°.
  2. A triangle with three acute angles is known as an acute triangle.

The diagram on the right supports this, showing a triangle with all angles being less than 90° (measuring 36°, 72°, and 72°).

Would you like more details on this topic or any related concepts?

Here are some related questions to expand on this topic:

  1. What is a right triangle, and how is it different from an acute triangle?
  2. What is an obtuse triangle, and how does it differ from other triangles?
  3. Can a triangle have more than one obtuse angle? Why or why not?
  4. How do you calculate the sum of all angles in any triangle?
  5. Can a triangle be classified by both angles and sides?

Tip: Remember, the sum of all internal angles in any triangle is always 180°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Classification
Angle Measurement

Formulas

Sum of interior angles of a triangle = 180°

Theorems

Acute angle theorem
Triangle Sum Theorem

Suitable Grade Level

Grades 5-7