An acute triangle is a type of triangle where all three interior angles are acute angles, which means they are less than 90 degrees.

Properties of Acute Triangle:

All three interior angles are less than 90 degrees.
The sum of the interior angles is 180 degrees.
The side opposite the smallest angle is the shortest side.
The side opposite the largest angle is the longest side.

Examples of Acute Triangle:

Here are examples of acute triangles:

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Study Guide:

When working with acute triangles, remember the following key points:

Identify the angles and check if they are all less than 90 degrees.
Use the properties of acute triangles to solve problems involving side lengths and angle measures.
Remember that in an acute triangle, the longest side is opposite the largest angle, and the shortest side is opposite the smallest angle.

Practice problems:

1. In an acute triangle, if one angle measures 60 degrees, what are the possible measures for the other two angles?

2. If the side lengths of an acute triangle are 5 cm, 8 cm, and 10 cm, what are the measures of the angles?

Conclusion

Understanding the properties of acute triangles and how to identify and work with them is important in geometry and trigonometry. Practice solving problems involving acute triangles to strengthen your understanding of the concepts.

◂Math Worksheets and Study Guides Sixth Grade. Volume

The resources above cover the following skills:

Geometry (NCTM)

Use visualization, spatial reasoning, and geometric modeling to solve problems.

Use geometric models to represent and explain numerical and algebraic relationships.

Measurement (NCTM)

Apply appropriate techniques, tools, and formulas to determine measurements.

Select and apply techniques and tools to accurately find length, area, volume, and angle measures to appropriate levels of precision.

Develop strategies to determine the surface area and volume of selected prisms, pyramids, and cylinders.

Connections to the Grade 6 Focal Points (NCTM)

Measurement and Geometry: Problems that involve areas and volumes, calling on students to find areas or volumes from lengths or to find lengths from volumes or areas and lengths, are especially appropriate. These problems extend the students' work in grade 5 on area and volume and provide a context for applying new work with equations.