Math Problem Statement
Determine the type of triangle that is drawn below.
Solution
The given triangle has the following properties:
- Sides: All three sides are equal (7 units each).
- Angles: All three angles are equal (60° each).
Determination:
This is an equilateral triangle because:
- All sides are congruent (equal in length).
- All interior angles are equal (each measuring 60°).
An equilateral triangle is also a type of acute triangle, as all angles are less than 90°.
Would you like a deeper explanation of equilateral triangles, their properties, or how to classify triangles in general?
Here are 5 related questions:
- How can you find the height of an equilateral triangle if the side length is given?
- What is the area of this triangle?
- How do equilateral triangles relate to regular polygons?
- Why are all equilateral triangles also acute triangles?
- Can you explain the symmetry properties of an equilateral triangle?
Tip: In equilateral triangles, you can use the formula for quick calculations!
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangles
Equilateral Triangles
Formulas
Area of an equilateral triangle: (√3/4) × side²
Properties of equilateral triangles: all sides are equal, all angles are 60°
Theorems
Congruence of triangles
Angle sum property of triangles
Definition of equilateral triangles
Suitable Grade Level
Grades 6-8