Calculate the missing side of the triangle below.
Table of contents
- 0. Review of College Algebra4h 45m
- 1. Measuring Angles40m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
0. Review of College Algebra
Pythagorean Theorem & Basics of Triangles
Problem 3
Textbook Question
Fill in the blank(s) to correctly complete each sentence.
An equilateral triangle has _________________ equal sides.
Verified step by step guidance1
Recall the definition of an equilateral triangle: it is a triangle where all sides are of equal length.
Since the triangle is equilateral, it means all three sides are equal.
Therefore, the number of equal sides in an equilateral triangle is three.
You can express this as: An equilateral triangle has \$3$ equal sides.
This property also implies that all interior angles are equal, each measuring \(60^\circ\), but the question focuses on the sides.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Equilateral Triangle Definition
An equilateral triangle is a triangle in which all three sides are of equal length. This property also implies that all three interior angles are equal, each measuring 60 degrees.
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Review of Triangles
Properties of Triangle Sides
The sides of a triangle determine its classification. In an equilateral triangle, the equality of sides is fundamental, distinguishing it from isosceles (two equal sides) and scalene (no equal sides) triangles.
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Finding Missing Side Lengths
Relationship Between Sides and Angles
In triangles, equal sides correspond to equal angles opposite those sides. For an equilateral triangle, since all sides are equal, all angles are also equal, reinforcing the triangle's symmetry.
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