R d sharma solutions mathematics class 10 Solutions for Chapter 10 constructions

Exercises in Chapter 10 constructions Grade 10

Constructions Exercise 11.1

Constructions Exercise 11.2

Constructions Exercise 11.3

Questions in Constructions Exercise 11.1

Determine a point which divides a line segment of length 12 cm internally in the ratio of 2: 3. Also, justify your construction.

Questions in Constructions Exercise 11.2

Construct a triangle of sides 4 cm, 5 cm and 6 cm and then a triangle similar to it whose sides are (2/3) of the corresponding sides of it.

Draw a right triangle ABC in which AC = AB = 4.5 cm and ∠A = 90°. Draw a triangle similar to ΔABC with its sides equal to (5/4)^th of the corresponding sides of ΔABC.

Draw a right triangle in which the sides (other than hypotenuse) are of lengths 5 cm and 4 cm. Then construct another triangle whose sides are 5/3 times the corresponding sides of the given triangle.

Construct a triangle similar to a given ΔABC such that each of its sides is (5/7)^thof the corresponding sides of ΔABC. It is given that AB = 5 cm, BC = 7 cm and ∠ABC = 50°.

Construct a triangle similar to a given ΔABC such that each of its sides is (2/3)^rd of the corresponding sides of ΔABC. It is given that BC = 6 cm, ∠B = 50° and ∠C = 60°.

Draw a ΔABC in which BC = 6 cm, AB = 4 cm and AC = 5 cm. Draw a triangle similar to ΔABC with its sides equal to (3/4)^th of the corresponding sides of ΔABC

Construct a triangle with sides 5 cm, 6 cm and 7 cm and then another triangle whose sides are (7/5)^th of the corresponding sides of the first triangle.

Questions in Constructions Exercise 11.3

Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct a pair of tangents to the circle and measure their lengths.

Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these points P and Q.

Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as the centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.