Solutions of Right Triangles Class-9 Concise Selina ICSE Maths

Solutions of Right Triangles Class-9 Concise Selina ICSE Mathematics Solutions Chapter-24 .  We provide step by step Solutions of Exercise / lesson-24 Solutions of Right Triangles for ICSE Class-9 Concise Selina Mathematics by R K Bansal.

Our Solutions contain all type Questions with Exercise-24, to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-9 Mathematics .

Solutions of Right Triangles Class-9 Concise Selina ICSE Mathematics Solutions Chapter-24

 

Exercise 24

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Question 1

Fin ‘x’ if:

(i)

(ii)

 

 

(iii)

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-1

Question 2

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Find angle ‘A’ if:

(i)

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

(ii)

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

(iii)

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-2

Question 3

Find angle ‘x’ if:

 

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-3
selina-icse-solutions-class-9-maths-solution-right-triangles-3-1

Question 4

Find AD, if:

(i)

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Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

(ii)

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-4

Question 5

Find the length of AD.

Given: ABC = 60o.

DBC = 45o

And BC = 40 cm

 

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-5

Question 6

Find the lengths of diagonals AC and BD. Given AB = 60 cm and BAD = 60o.

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-6
selina-icse-solutions-class-9-maths-solution-right-triangles-6-1

Question 7

Find AB.

 

 

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-7
Thus AB = AC + CD + BD = 54.64 cm.

Question 8

In trapezium ABCD, as shown, AB // DC, AD = DC = BC = 20 cm and A = 60o. Find:

(i) length of AB

(ii) distance between AB and DC.

Answer 

First draw two perpendiculars to AB from the point D and C respectively. Since AB|| CD therefore PMCD will be a rectangle.
Consider the figure,
selina-icse-solutions-class-9-maths-solution-right-triangles-8
selina-icse-solutions-class-9-maths-solution-right-triangles-8-1

Question 9

Use the information given to find the length of AB.

 

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-9

Question 10

Find the length of AB.

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-10

Question 11

In the given figure, AB and EC are parallel to each other. Sides AD and BC are 2 cm each and are perpendicular to AB

Given that AED = 60o and ACD = 45o. Calculate:

(i) AB(ii) AC(iii) AE

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-11

Question 12

In the given figure, ∠B = 60° , AB = 16 cm and BC = 23 cm,

Calculate:

(i) BE (ii) AC

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

 

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-12

Question 13

Find

(i) BC

(ii) AD

(iii) AC

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-13

Question 14

In right-angled triangle ABC; B = 90o. Find the magnitude of angle A, if:

(i) AB is √3 times of BC.

(ii) BC is √3 times of AB.

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-14

Question 15

A ladder is placed against a vertical tower. If the ladder makes an angle of 30o with the ground and reaches upto a height of 15 m of the tower; find length of the ladder.

Answer 

Given that the ladder makes an angle of 30o with the ground and reaches upto a height of 15 m of the tower which is shown in the figure below:
selina-icse-solutions-class-9-maths-solution-right-triangles-15

Question 16

A kite is attached to a 100 m long string. Find the greatest height reached by the kite when its string makes an angles of 60o with the level ground.

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-16

Question 17

Find AB and BC, if:

(i)

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

(ii)

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

(iii)

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-17
selina-icse-solutions-class-9-maths-solution-right-triangles-17-1
selina-icse-solutions-class-9-maths-solution-right-triangles-17-2
selina-icse-solutions-class-9-maths-solution-right-triangles-17-3

Question 18

Find PQ, if AB = 150 m, P = 30o and Q = 45o.

(i)

 

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

(ii)

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-18
selina-icse-solutions-class-9-maths-solution-right-triangles-18-1

Question 19

If tan xo =, 5 /12

tan yo = 3/4 and AB = 48 m; find the length of CD

Selina Solutions Icse Class 9 Mathematics Chapter - Solution Of Right Triangles Simple 2 D Problems Involving One Right Angled Triangle

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-19

Question 20

The perimeter of a rhombus is 96 cm and obtuse angle of it is 120o. Find the lengths of its diagonals.

Answer 

selina-icse-solutions-class-9-maths-solution-right-triangles-20
We also know that in rhombus diagonals bisect each other perpendicularly and diagonal bisect the angle at vertex.
Hence POR is a right angle triangle and
selina-icse-solutions-class-9-maths-solution-right-triangles-20-1

— End of Solutions of Right Triangles Class-9 Concise Selina Solutions :–


Return to – Concise Selina Maths Solutions for ICSE Class -9

 

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