You are here
Constructing Equilateral Triangle
Last updated at November 5, 2025 by Teachoo
Constructing Equilateral Triangle
Class 7 (Ganita Prakash 1, 2 & old NCERT)
Chapter 7 Class 7 - A tale of three Intersecting Lines (Ganit Prakash)
- Definition
-
Constructing Equilateral Triangle
- Constructing a Triangle when its Sides are given
- Figure it out - Page 150, 151
- Are Triangles Possible for any Lengths?
- Figure it out - Page 154
- Visualising the Construction of Circles
- Figure it out - Page 156
- Triangle Inequality & Construction of Circles
- Figure it out - Page 159
- Constructing Triangle when 2 Sides and the Included Angle are given
- Constructing Triangle when 2 Angles and the Included Side are given
- Do triangles always exist?
- Sum of angles of a triangle
- Angle Sum Property
- Exterior Angles
- Constructions Related to Altitudes of Triangles
- Figure it out - Page 170, 171
Transcript
Constructing Equilateral TriangleAn equilateral triangle has all sides equal Let’s try to draw an equilateral triangle of side 4 cm Our figure would look like Let’s figure out how to construct this Steps of construction 1. Draw a line segment AB of length 4 cm 2. Taking 4 cm as radius, and A as center, we draw a full circle lightly 3. Taking 4 cm as radius, and B as center, we draw a full circle lightly Now, where these two circles intersect is our point C Note: Instead of drawing full circles – we can draw a part of the circle. Since we know point C will be above AB – we draw part of a circle (arc) from point A and from Point B See solid line blue and solid line Green 5. Join AC and BC and label the sides Thus, Δ ABC is the required triangle
