Equilateral triangle

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Here we will prove that the three angles of an equilateral triangle are equal. Given: PQR is an equilateral triangle. To prove: ∠QPR = ∠PQR = ∠ PRQ. Proof: Statement 1. ∠QPR = ∠PQR 2. ∠PQR = ∠ PRQ. 3. ∠QPR = ∠PQR = ∠ PRQ. (Proved). Reason 1. Angles opposite to equal sides QR

Types of Triangles - right triangles, acute triangles, obtuse triangles, oblique triangles, equilateral triangles, equiangular triangles, isosceles triangles and scalene triangles, how to solve problems involving angles and sides of triangles, with video lessons with examples and step-by-step solutions.

An equilateral triangle is a three-sided polygon with three equal sides and three equal angles, each measuring 60 degrees. In real life, equilateral triangles can be found in a variety of contexts. One common example is the construction of buildings and other structures. The triangular shape of an equilateral triangle is very strong and stable, ... Read more

Applet informally leads students to discover the following theorems (corollaries, really): If a triangle is equilateral, then it is equiangular. If a triangle is equilateral, then each of its interior angles measures 60 degrees.

Dynamic illustration that shows if a triangle is equiangular, then it is equilateral. Key guiding questions included.

Illustration showing an equilateral triangle (one that has three sides equal).

This picture features a triangle. A triangle is a polygon (2D shape) with 3 sides and 3 interior angles which add to 180 degrees.

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