Acute Angle: Practice Questions
Question 1: Determine if the following sets of angles form an acute triangle.
- 30°, 50°, 80°
- 60°, 70°, 80°
- 45°, 45°, 90°
- 100°, 40°, 40°
Question 2: Find the sum of the acute angles in the triangles.
- Triangle ABC has angles 30°, 45°, 60°.
- Triangle XYZ has angles 20°, 70°, 80°.
- Triangle PQR has angles 50°, 30°, 60°.
Question 3: If an angle is 25°, what is its complement, and is it an acute angle?
Question 4: Classify each triangle based on its angles.
- Triangle LMN with angles 60°, 70°, 50°.
- Triangle DEF with angles 80°, 60°, 40°.
- Triangle UVW with angles 30°, 60°, 90°.
What is an Acute Angle?
Acute Angle is a type of angle based on its measure, where the measure is less than 90°. Imagine the angle formed when you bend your elbow, creating a sharp but not wide opening; this is an example of an Acute Angle. In geometry, an acute angle falls within the range of 0° to 90°. These angles play a significant role in shaping various geometric figures, particularly triangles, and find applications in diverse mathematical and scientific scenarios.
In this article, we have covered the various concepts related to acute angles—definition, properties, and real-life examples of acute angle to gain a clearer understanding of their significance.
Table of Content
- What is an Acute Angle?
- Properties of Acute Angle
- Triangle Properties of Acute Angle
- Formula of Acute Angle
- Acute Angle in Various Shapes
- Real Life Example of Acute Angle
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