## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 17 Constructions Chapter Test

These Solutions are part of ML Aggarwal Class 10 Solutions for ICSE Maths. Here we have given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 17 Constructions Chapter Test.

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**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 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 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 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 = 4cm, ∠C = 75° and that radius of 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:**

Hope given ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 17 Constructions Chapter Test are helpful to complete your math homework.

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