MCQ practice · SSC General Mathematics Board questions · Chapter 7: Practical Geometry
Which of the following data can be used to draw ΔPQR?
Think it through first, then pick an option.
- a ∠P = 60°, ∠Q = 50°, ∠R = 70°
- b ∠P = 50°, ∠Q = 50°, ∠R = 80°
- c PQ = 4 cm, QR = 7 cm, PR = 11 cm
- d PQ = 6 cm, QR = 9 cm, PR = 12 cm
Answer and explanation
Correct answer: d PQ = 6 cm, QR = 9 cm, PR = 12 cm
6 + 9 > 12, 6 + 12 > 9 and 9 + 12 > 6, so the three sides form a triangle.
Why the other options are wrong
- a ∠P = 60°, ∠Q = 50°, ∠R = 70°: Three angles do not fix a triangle; similar ones are countless.
- b ∠P = 50°, ∠Q = 50°, ∠R = 80°: Angles alone do not fix the size; a side length is needed.
- c PQ = 4 cm, QR = 7 cm, PR = 11 cm: 4 + 7 = 11 only equals the third side, so no triangle.
Your account is open, so all 30,000+ MCQs from every chapter are yours. Start practising SSC General Mathematics →
Want to keep going?
A free account carries you on to the next questions and opens 30,000+ MCQs from every chapter. Join before launch and Chirkut bundles are 60% off.
The ones you missed, worth one more look