31. In a right angled ΔABC, ∠ABC = 90°, AB = 3, BC = 4, CA = 5; BN is perpendicular to AC, AN : NC is
32. In a triangle ABC, incentre is O and ∠BOC = 110°, then the measure of ∠BAC is:
33. I is the incentre of a triangle ABC. If ∠ACB = 55°, ∠ABC = 65° then the value of ∠BIC is
34. For a triangle base is 6$$\sqrt 3 $$ cm and two base angles are 30° and 60°. Then height of the triangle is
35. D is any point on side AC of ΔABC. If P, Q, X, Y are the mid-point of AB, BC, AD and DC respectively, then the ratio of PX and QY is
36. In ΔABC, ∠BAC = 90° and AB = $$\frac{1}{2}$$ BC, Then the measure of ∠ACB is :
37. ABC is a right angled triangled, right angled at C and P is the length of the perpendicular from C on AB. If a, b and c are the length of the sides BC, CA and AB respectively, then
38. If in a triangle, the orthocentre lies on vertex, then the triangle is
39. The length of the three sides of a right angled triangle are (x - 2) cm, (x) cm and (x + 2) cm respectively. Then the value of x is
40. The length of the two sides forming the right angle of a right angled triangle are 6 cm and 8 cm. The length of its circum-radius is :
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