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Triangle Inequality & Construction of Circles
Last updated at November 7, 2025 by Teachoo
Triangle Inequality & Construction of Circles
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
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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
Triangle Inequality & Construction of CirclesWhen constructing Triangles using Circles, we have 3 cases Sum of two sides = Third Side – Triangle is not possible Sum of two sides > Third Side – Triangle is not possible Sum of two sides < Third Side – Triangle is possible Note that while constructing the circles, we take Length of the base = longest side of triangle Radii of the circles to be the smaller two lengths. Let’s visualize our cases Sum of two sides = Third Side Sum of two sides > Third Side Sum of two sides < Third Side To Conclude, If Sum of smaller sides > Largest side Then triangle is possible
