The Triangle and its Properties

15. In ∆PQR, if ∠P = 60°, and ∠Q = 40°, then the exterior angle formed by producing QR is equal to

14. Which of the following triplets cannot be the angles of a triangle?

13. Which of the following can be the length of the third side of a triangle whose two sides measure 18 cm and 14 cm?

12. How many altitudes does a triangle have?

11. If we join a vertex to a point on the opposite side which divides that side in the ratio 1:1, then what is the special name of that line segment?

10. The measures of ∠x and ∠y in the given figure are respectively

9. If the lengths of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be

8. In a right-angled triangle ABC, if ∠B = 90°, BC = 3 cm and AC = 5 cm, then the length of side AB is

7. In a right-angled triangle ABC, if ∠B = 90°, then which of the following is true?

6. Which of the following figures will have its altitude outside the triangle?

5. In the following figure, if AB ∥ CD, then

4. In ∆ABC, ∠A = 100°, AD bisects ∠A and AD ⊥ BC. Then, ∠B is equal to

3. In ∆ABC, ∠A = 50°, ∠B = 70° and the bisector of ∠C meets AB in D. Measure of ∠ADC is

2. If D is the mid-point of the side BC in ∆ABC where AB = AC, then ∠ADC is

1. In the given figure, M is the mid-point of both AC and BD. Then

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