ACUTE TRIANGLE

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Quick Summary

All three angles are less than 90 degrees.
The sum of the angles in an acute triangle is 180 degrees.
Acute triangles can be equilateral, isosceles, or scalene.

\[ 0 < \angle A < 90^{\circ}, 0 < \angle B < 90^{\circ}, 0 < \angle C < 90^{\circ} \]

🍎 Teacher Insights

Use visual aids and hands-on activities to help students differentiate between acute, right, and obtuse triangles. Have them measure angles with protractors to reinforce the concept.

🎓 Prerequisites

Triangles
Angles
Angle Measurement
Types of Angles (acute, right, obtuse)

Check Your Knowledge

Q1: Which of the following is an acute triangle?

A triangle with angles 90, 45, 45 A triangle with angles 100, 40, 40 A triangle with angles 60, 60, 60 A triangle with angles 30, 60, 90

Q2: Which statement is true about an acute triangle?

It has one angle greater than 90 degrees. It has one angle equal to 90 degrees. All angles are less than 90 degrees. It always has three equal sides.

Frequently Asked Questions

Q: Can an acute triangle be equilateral?
A: Yes, an equilateral triangle is a special case of an acute triangle where all angles are 60 degrees.

Q: Can an acute triangle be a right triangle?
A: No, a right triangle has one 90-degree angle, so it cannot be an acute triangle.