A Tale of Three Intersecting Lines
CBSE · Class 7 · Mathematics
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Quick Quiz: A Tale of Three Intersecting Lines
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If a triangle has sides of lengths 5 cm, 12 cm, and 13 cm, what type of triangle is it?
Can a triangle be formed with sides of lengths 3 cm, 4 cm, and 8 cm?
In triangle ABC, if ∠A = 45° and ∠B = 65°, what is ∠C?
What is the sum of interior angles of any triangle?
Sample Questions
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
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