Selina solutions concise maths class 9 icse Solutions for Chapter 24 chapter 24 solution of right triangles

Exercises in Chapter 24 chapter 24 solution of right triangles Grade 9

Exercise 24

Questions in Exercise 24

Find 'x' if:

(i)

(ii)

(iii)

Find angle 'A' if:

(i)

(ii)

(iii)

Find angle 'x' if:

Find AD, if:

(i)

(ii)

Find the length of AD.

$\begin{array}{l} \text { Given: } \angle \mathrm{ABC}=60^{\circ} . \\ \angle \mathrm{DBC}=45^{\circ} \\ \text { And } \mathrm{BC}=40 \mathrm{cm} \end{array}$

Find the lengths of diagonals AC and BD. Given AB = 60 cm and $\angle \mathrm{BAD}=60^{\circ}$ .

Find AB.

In trapezium ABCD, as shown, AB // DC, AD = DC = BC = 20 cm and A = $60^{\circ}$ . Find:

(i) Length of AB

(ii) Distance between AB and DC.

Use the information given to find the length of AB.

Find the length of AB.

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.

$\text { Given that } \angle \mathrm{AED}=60^{\circ} \text { and } \angle \mathrm{ACD}=45^{\circ}$ . Calculate:

(i) AB

(ii) AC

(iii) AE

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

Calculate:

(i) BE

(ii) AC

Find

(i) BC

(ii) AD

(iii) AC

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

(i) AB is √𝟑 times of BC.

(ii) BC is √𝟑 times of AB.

A ladder is placed against a vertical tower. If the ladder makes an angle of $30^{\circ}$ with the ground and reaches upto a height of 15 m of the tower; find length of the ladder.

A kite is attached to a 100 m long string. Find the greatest height reached by the kite when its string makes an angle of $60^{\circ}$ with the level ground.

Find AB and BC, if:

(i)