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# ICSE Class 10 Mathematics Revision Notes Chapter 19 - Constructions

Last updated date: 17th Sep 2024
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## Revision Notes for ICSE Class 10 Mathematics Chapter 19 - Free PDF Download

Free PDF download of Class 10 Mathematics Chapter 19 - Constructions (Circles) Revision Notes & Short Key-notes prepared by our expert Math teachers as per CISCE guidelines. To register Maths Tuitions on Vedantu.com to clear your doubts.

Competitive Exams after 12th Science

## A Brief into Chapter 19

This chapter instructs students on how to construct tangents to circles by a given circle, how to circumscribed and inscribed triangle circles, and how to circumscribe and inscribe a regular hexagonal circle. The ICSE expects at least one question from this chapter. Therefore, it is essential that you understand these constructions. The ICSE Solutions for Class 10 Mathematics can be referred to by students having difficulties understanding any chapter of Concise Mathematics Class 10. The Vedantu link provides direct access to the ICSE Solutions detailed studies for their exams.

Detailed solution for Constructions has been prepared by Vedantu's academic team. There is a detailed explanation of all steps for all questions of the chapter - Constructions. If you are aiming for good marks in your Class 10 ICSE Board examination, you should try to answer all the questions in chapter Constructions by yourself. Full Solutions for Chapter- Constructions of the Class 10 ICSE Mathematics are available for reference only. It is important to take notes prior to solving the questions in the chapter- Constructions.

### Revision Notes for Chapter 19 of Class 10 Maths

Make sure to note how you plan to utilize the formulas in the chapter- Constructions. Afterwards, start solving the questions in the textbook based on everything you have learned in Chapter - Constructions. The ICSE Revision Notes and Keynotes provided by Vedantu are in a free, downloadable PDF format and are easy to understand, so students can use them for their studies for better results on their board exams.

Revision Notes for ICSE Class 10 are available for the two main subjects of Mathematics and Science. Students have a big impact on their future through these core subjects as they act as stepping stones. Some students may find them challenging. The ICSE Class 10 Maths Revision Notes will help students develop an expert study method that will help them enjoy the subject and achieve better results in the exams.

The revision notes by Vedantu are designed by taking into consideration the exam pattern and syllabus of NCERT 2024-25 for ICSE Class 10 Maths Chapter 19. For those taking upcoming exams, students can practice the questions by downloading the PDF for free.

## 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

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.

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

1. 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.

2. 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.

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

4. 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?