Selina solutions for कॉनसाइस माठेमटिक्स [इंग्रजी] इयत्ता ९ आईसीएसई chapter 22 - Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle] [Latest edition]

The given figure, shows an isosceles triangle with angle ABC = 90°, the measure of angle BAC is:

In the given triangle, ∠ACB = 90° and angle CAB = 60°, the value of cot ∠ABC is:

In the given triangle, the length of AB is:

From the information given in the triangle 60 shown below, the length of CD is:

(take `sqrt3` = 1.732)

In the given triangle, the length of AB is:

Find ‘x’, if:

Find 'x', if :

Find 'x', if:

Find angle 'A' if :

Find angle 'A' if :

Find angle 'A' if:

Find angle 'x' if :

Find AD, if :

Find AD, if:

Find the length of AD.
Given: ∠ABC = 60^o.
∠DBC = 45^o
and BC = 40 cm.

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

Find AB.

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

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

Use the information given to find the length of AB.

The value of angle A is ______.

The length of AB is ______.

The length of AB is ______.

Length of AB is equal to ______.

Statement (1): At a particular time, the length of the shadow of a 50 m tower is `50sqrt3` m.

Statement (2): The sun’s altitude is 30°.

Statement (1): The distance between B and C = 5 m.

Statement (2): BC = `3sqrt3` m.

Assertion (A): In rhombus ABCD, angle ABC = 120° and length of its each side is 20 cm. The length of diagonal BD = 20 cm.

Reason (R): In ΔАОВ, cos 60° = `"OB"/"20 cm" and BD = 2 xx OB`.

Assertion (A): The length of the line AB is 100 m.

Reason (R): tan 45° = `50/"PB"` ⇒ PB = 50 m and AB = 50 m + 50 m = 100 m.

Find the value of cot х.

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.

Given that ∠ AED = 60° and ∠ ACD = 45°. Calculate: 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.

Given that ∠AED = 60° and ∠ACD = 45°. Calculate: AC

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° and ∠ ACD = 45°. Calculate: AE.

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

1. BE
2. AC

Find: BC

Find: AD

Find: AC

In right-angled triangle ABC; ∠ B = 90°. Find the magnitude of angle A, if: AB is √3 times of BC.

In right-angled triangle ABC; ∠B = 90°. Find the magnitude of angle A, if:
BC is `sqrt(3)` times of AB.

A ladder is placed against a vertical tower. If the ladder makes an angle of 30° 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 angles of 60° with the level ground.

Find AB and BC, if:

Find AB and BC, if:

Find AB and BC, if:

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

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

.

If tan x° = `(5)/(12)`,

tan y° = `(3)/(4)` and AB = 48 m; find the length of CD.

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

A school authority constructed a slide for its children below the age of 12 years.

The constructed slide has a height of 4 m above the ground and is inclined at an angle of 30° to the ground.

Use the given information to answer each of the following:

1. the length of slide AB is:
   1. 8 m
   2. 6 m
   3. 5 m
   4. 10 m
2. the value of sin² 30° + cos² 60° is:
   1. `1/4`
   2. `1/2`
   3. `3/4`
   4. `3/2`
3. if cos A = `1/2`, then the value of 12 cot² A − 2 is:
   1. 5
   2. 4
   3. 3
   4. 2