Equilateral triangles are special triangles where all three sides are equal in length. Because of this, all three angles are also equal, each measuring 60 degrees. This makes them 'equiangular' as well as equilateral. Understanding these properties is key to solving many geometry problems. Let's explore these properties with a fun and interactive worksheet!
Match the terms on the left with their definitions on the right:
| Term | Definition |
|---|---|
| 1. Equilateral | a. A line segment from a vertex perpendicular to the opposite side. |
| 2. Equiangular | b. A triangle with all three sides equal. |
| 3. Altitude | c. A line segment from a vertex to the midpoint of the opposite side. |
| 4. Median | d. Having all angles equal. |
| 5. Congruent | e. Equal in measure. |
Complete the following paragraph using the words provided: 60, sides, angles, triangle, equal.
An equilateral _______ is a polygon with three _______ that are all the same length. Consequently, all three _______ are also _______, each measuring _______ degrees.
Imagine you have a piece of wire that is 30 cm long. Can you form an equilateral triangle with this wire? Explain your reasoning.
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