10th Standard Math’s Chapter 8

Q.71 D and E are respectively the midpoints on the sides AB and AC of a triangle ABC and BC = 6 cm. If DE || BC, then the length of DE (in cm) is

Q.72 In triangle PQR, if PQ = 6 cm, PR = 8 cm, QS = 3 cm, and PS is the bisector of angle QPR, what is the length of SR?

Q.73 The lengths of the diagonals of a rhombus are 16 cm and 12cm. Then, thelength of the side of the rhombus is

Q.74 A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.

Q.75 Diagonals of a trapezium PQRS intersect each other at the point O, PQ || RS and PQ = 3 RS, Then the ratio of areas of triangles POQ and ROS is:

Q.76 ABCD is a trapezium in which AB|| DC and P, Q are points on ADand BC respectively such that PQ || DC. If PD = 18 cm, BQ = 35 cm andQC = 15 cm, find AD.

Q.77 Areas of two similar triangles are 36 cm² and 100 cm². If the length of a side of the larger triangle is 20 cm, then the length of the corresponding side of the smaller triangle is:

Q.78

In the figure if ∠ACB = ∠CDA, AC = 8 cm and AD = 3 cm, find BD.

Q.79 If ABCD is parallelogram, P is a point on side BC and DP when produced meets AB produced at L, then select the correct option

Q.80

In the figure given below DE || BC. If AD = x, DB = x – 2, AE = x + 2 and EC = x – 1, the value of x is: