## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 16 Constructions Chapter Test

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 16 Constructions Chapter Test

Question 1.

Draw a circle of radius 3 cm. Mark its centre as C and mark a point P such that CP = 7 cm. Using a ruler and compasses only, Construct two tangents from P to the circle.

Solution:

Question 2.

Draw a line AQ = 7 cm. Mark a point P on AQ such that AP = 4 cm. Using a ruler and compasses only, construct:

(i) a circle with AP as diameter.

(ii) two tangents to the above circle from the point Q.

Solution:

Question 3.

Using ruler and compasses only, construct a triangle ABC having given c = 6 cm, b = 1 cm and ∠A = 30°. Measure side a. Draw carefully the circumcircle of the triangle.

Solution:

Question 4.

Using ruler and compasses only, construct an equilateral triangle of height 4 cm and draw its circumcircle.

Solution:

Question 5.

Using a ruler and compasses only:

(i) Construct a triangle ABC with the following data: BC = 7 cm, AB = 5 cm and ∠ABC = 45°.

(ii) Draw the inscribed circle to ∆ABC drawn in part (i).

Solution:

Question 6.

Draw a triangle ABC, given that BC = 4 cm, ∠C = 75° and that radius of the circumcircle of ∆ABC is 3 cm.

Solution:

Question 7.

Draw a regular hexagon of side 3.5 cm construct its circumcircle and measure its radius.

Solution:

Question 8.

Construct a triangle ABC with the following data: AB = 5 cm, BC = 6 cm and ∠ABC = 90°.

(i) Find a point P which is equidistant from B and C and is 5 cm from A. How many such points are there?

(ii) Construct a circle touching the sides AB and BC, and whose centre is equidistant from B and C.

Solution: