A Tale of Three Intersecting Lines — Important Questions
CBSE · Class 7 · Mathematics
42 important questions from A Tale of Three Intersecting Lines for CBSE Class 7 Mathematics, with answers. Part of the CBSE Class 7 Mathematics syllabus.
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Important Questions from A Tale of Three Intersecting Lines
Which of the following sets of lengths can form a triangle?
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6 cm, 8 cm, 10 cm, 5 cm, 5 cm, 8 cm, 7 cm, 9 cm, 12 cm
Check triangle inequality for each: (6,8,10): 6+8=14>10 ✓, (2,3,6): 2+3=5<6 ✗, (5,5,8): 5+5=10>8 ✓, (1,2,4): 1+2=3<4 ✗, (7,9,12): 7+9=16>12 ✓
If two angles of a triangle are 30° and 60°, what type of triangle is it?
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Right triangle
Third angle = 180° - 30° - 60° = 90°. Since one angle is 90°, it's a right triangle.
In an equilateral triangle, each angle measures:
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60°
In equilateral triangle, all angles are equal. Since sum = 180°, each angle = 180° ÷ 3 = 60°.
Which construction tools are needed to construct a triangle when all three sides are given?
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Ruler, Compass
To construct triangle with given sides: use ruler to draw base, then use compass to create arcs of required lengths from both ends to find third vertex.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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