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Question 1 - Figure it out - Page 154 - Chapter 7 Class 7 - A tale of three Intersecting Lines (Ganit Prakash)
Last updated at July 21, 2026 by Teachoo
Figure it out - Page 154
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?
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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
Question 1 We checked by construction that there are no triangles having sidelengths 3 cm, 4 cm and 8 cm; and 2 cm, 3 cm and 6 cm. Check if you could have found this without trying to construct the triangle. We need to check Triangle Inequality Which says Sum of Two Sides > Third Side We don’t need to check all the combinations We just check if Sum of smaller sides > Largest side Let’s do this one by one Sides 3 cm, 4 cm and 8 cm Here, Sum of smaller two sides = 3 + 4 = 7 And, Largest side = 8 Now, 7 < 8 This does not satisfy triangle inequality ∴ Triangle does not exist Sides 2 cm, 3 cm and 6 cm Here, Sum of smaller two sides = 2 + 3 = 5 And, Largest side = 6 Now, 5 < 6 This does not satisfy triangle inequality ∴ Triangle does not exist
