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**

Question 1

Fin ‘x’ if:

(i)

(ii)

(iii)

** **

**Answer **

Question 2

Find angle ‘A’ if:

(i)

(ii)

(iii)

**Answer **

Question 3

Find angle ‘x’ if:

**Answer **

Question 4

Find AD, if:

(i)

**(ii)**

**Answer **

Question 5

Find the length of AD.

Given: ABC = 60^{o}.

DBC = 45^{o}

And BC = 40 cm

**Answer **

Question 6

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

**Answer **

Question 7

Find AB.

** **

**Answer **

Thus AB = AC + CD + BD = 54.64 cm.

Question 8

In trapezium ABCD, as shown, AB // DC, AD = DC = BC = 20 cm and A = 60^{o}. 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,

Question 9

Use the information given to find the length of AB.

** **

**Answer **

Question 10

Find the length of AB.

**Answer **

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 = 60^{o} and ACD = 45^{o}. Calculate:

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

**Answer **

Question 12

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

Calculate:

(i) BE (ii) AC

** **

**Answer **

Question 13

Find

(i) BC

(ii) AD

(iii) AC

**Answer **

Question 14

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

(i) AB is √3 times of BC.

(ii) BC is √3 times of AB.

**Answer **

Question 15

A ladder is placed against a vertical tower. If the ladder makes an angle of 30^{o} 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:

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 60^{o} with the level ground.

**Answer **

Question 17

Find AB and BC, if:

(i)

(ii)

(iii)

**Answer **

Question 18

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

(i)

(ii)

**Answer **

Question 19

If tan x^{o} =, 5 /12

tan y^{o} = 3/4 and AB = 48 m; find the length of CD

**Answer **

Question 20

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

**Answer **

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

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