The Triangle and its Properties

30. The triangle ABC formed by AB = 5 cm, BC = 8 cm, AC = 4 cm is

29. Two trees 7 m and 4 m high stand upright on a ground. If their bases (roots) are 4 m apart, then the distance between their tops is

28. If in an isosceles triangle, each of the base angles is 40°, then the triangle is

27. The perimeter of the rectangle whose length is 60 cm and a diagonal is 61 cm is

26. In ∆PQR, if PQ = QR and ∠Q = 100°, then ∠R is equal to

25. In the following figure, BC = CA and ∠A = 40°. Then, ∠ACD is equal to

24. The length of two sides of a triangle are 7 cm and 9 cm. The length of the third side may lie between

23. From the given figure, the value of x is

22. In the given figure, the value of ∠A + ∠B + ∠C + ∠D + ∠E + ∠F is

21. In the following figure, PQ = PR, RS = RQ and ST ∥ QR. If the exterior angle RPU is 140°, then the measure of angle TSR is

20. In the following figure, ∠BAC = 90°, AD ⊥ BC and ∠BAD = 50°. The value of ∠ACD is

19. If one angle of a triangle is equal to the sum of the other two angles, the triangle is

18. If the exterior angle of a triangle is 130° and its interior opposite angles are equal, then measure of each interior opposite angle is

17. If one of the angles of a triangle is 110°, then the angle between the bisectors of the other two angles is

16. In ∆ABC, AD is the bisector of ∠A meeting BC at D, CF ⊥ AB and E is the mid-point of AC. Then median of the triangle is

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