In this page 10th grade geometry worksheet3 we are going to see some practice questions. You can try the below problems on your own. If you find it difficult to do any problems you can just click the solution link to get detailed solution.

(1) Find the unknown values in each of the following figures. All lengths are given in centimeters (all measures are not in scale)

 Solution

(2) The image of the man of height 1.8 m, is length 1.5 cm on the film of a camera. If the film is 3 cm from the lens of the camera, how far is the man from the camera?   Solution

(3) A girl of height 12 cm is walking away from the base of a lamp post at a speed of 0.6 m/sec . If the lamp is 3.6 m above the ground level, then find the length of her shadow after 4 seconds.   Solution

(4) A girl is in the beach with her father. She spots a swimmer drowning. She shouts to her father who is 50 m due west of her. Her father is 10 m nearer to a boat than the girl. If her father uses the boat to reach the swimmer, he has to travel a distance 126 m from the boat. At the same time, the girl spots a man riding a water craft who is 98 m away from the boat. The man n the water craft is due east of the swimmer. How far must the man travel to rescue the swimmer?

(5) P and Q are points on sides AB and AC respectively, of triangle ABC. If AP = 3 cm, PB = 6 cm, AQ = 5 cm and QC = 10 cm, show that BC = 3 PQ.  Solution

(6) In triangle ABC, AB = AC and BC = 6 cm. D is a point on the side AC such that AD = 5 cm and CD = 4 cm. Show that triangle BCD and triangle ACB are congruent and hence find BD.   Solution

(7) The points D and E are on the sides AB and AC of triangle ABC respectively, such that DE and BC are parallel. If AB = 3 AD and the area triangle ABC is 72 cm², then find the area of the quadrilateral DBCE.  Solution