## Revision Notes for ICSE Class 10 Mathematics Chapter 19 - Free PDF Download

## FAQs on ICSE Class 10 Mathematics Revision Notes Chapter 19 - Constructions

**1. Following concepts learnt in Chapter 19 of ICSE Class 10 Maths, construct triangle ABC, having given = 12 cm, BC= 8 cm and AC = 10 cm**

**(ii) Inscribe a circle in the ∆ ABC constructed in (i) above, theme**

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Steps of Construction:

(i) Draw a line segment BC = 7 cm.

(ii) At B, draw a ray BX making an angle of 45° and cut off BE = AB – AC = 1 cm.

(iii) Join EC and draw the perpendicular bisector of EC intersecting BX at A.

(iv) Join AC

∆ ABC is the required triangle.

(v) Draw angle bisectors of ∠ABC and ∠ACB intersecting each other at O.

(vi) From O, draw perpendicular OL to BC.

(vii) O as centre and OL as radius draw circle which touches the sides of the A ABC. This is the required in-circle of ∆ ABC.

On measuring radius OL = 1.8 cm (approx.).

**2. Following concepts learnt in Chapter 19 of ICSE Class 10 Maths, solve the following:**

**i) Using ruler and compasses only, construct a triangle ABC in which AB = 8 cm, BC = 6 cm and CA = 5 cm.**

**ii) Find its incenter and mark it I. **

**iii) With I as the center, draw a circle that will cut off 2 cm chords from each side of the triangle.**

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The construction process is as follows:

The segment BC lies at a distance of 6 cm.

Draw an arc with a radius of 8 cm and a centre B.

Create an arc with a radius of 5 cm with a centre C that intersects the first arc at A.

Finally, joining AB and AC.

The triangle required is *ABC.

v) Draw the angle bisectors of ∠B and ∠A that intersect at I. The intersection at I is the centre of the triangle ABC.

Then, through I, add ID and AB.

In Step 5, take DP = DQ = 2/2 = 1 cm from D

viii) With center I, and radius IP or IQ, draw a circle that will intersect each side of the triangle ABC cutting cords of 2 cm each.

**3. If you want to score good marks in Maths for ICSE Class 11, how important is it to make notes for each topic?**

Making notes is the most important part of reading topics from the worksheet or from other topics. In this way, you won't have to rely on reading the chapter to comprehend the notes. You will always be up-to-date with your revision notes. Before the class 11th exams, these notes will prove to be useful during revision. Ensure that you use them during exams. It is hoped that the revision notes for class 11 exams will benefit students, as they will not only save time during the examination but also recall what they have read or studied during it. In addition, the notes will help the students remember every little detail regarding the most difficult and the easiest subject.

**4. What is the best way to prepare for Chapter 19 - Construction (Circles) of Class 10 Mathematics?**

For Class 10 Mathematics Chapter 19 -Construction (Circles), use these study materials

The first and most important thing you should do if you are preparing a Diagrammatic presentation is to understand the details of the topic that was explained.

Finding out the relevant information in the question tends to be the key to understanding a diagram. Other graphs and charts as well, such as pie charts and histograms, can provide detailed answers.

You will learn the topics much better if you take notes of the important elements of their presentation.

For a detailed understanding of this topic, you might consult Vedantu directly.

**5. What are the tips that will help you score high marks in ICSE class 10 mathematics?**

This article contains some helpful tips for scoring excellent marks in Mathematics in Class 10-

A super-premium textbook covering all the topics from Class 10 Mathematics is vital - each student should have access to such a curriculum. ICSE Book solutions can provide students with the tools they need to understand economic concepts in a more comprehensive way.

Make sure that you memorize and understand the definitions quickly so that you can recall them during the exam. Be sure that you comprehend the definitions and know what each concept means. Be able to comprehend both the topic and concept at the same time and understand the reasons behind them as well. The concepts must be seen as the result of theoretical formulas. It is important to become familiar with each so that you can solve the problem as swiftly as possible.

Since Maths requires regular practice of the numerical, you can download the sample papers and past year question papers from Vedantu, this will help you prepare well for the exam.