Finding Sides of Triangles

Q.

The length of a side of a square is 3 cm. Length of its diagonal will be equal to

1. $3\sqrt{2}$ cm

2. 6 cm

3. 3 cm

4. $6\sqrt{2}$ cm

Q.

The diagonal of a square $2\sqrt{2}$ cm.Find the length of the sides of the square

1. $2\sqrt{2}$cm

2. $\sqrt{2}cm$

3. 2 cm

4. 4 cm

Q.

In a triangle ABC, AB =20 cm, $\angle A={30}^{\circ }$, AC = 18 cm The area of the triangle is equal to _______.

1. $36c{m}^2$

2. $90c{m}^2$

3. $64c{m}^2$

4. $48c{m}^2$

Q.

The diagonal of the given square is 4 cm, its perimeter and area will be equal to

1. $8\sqrt{2}cm,4c{m}^2$

2. $4\sqrt{2}cm,8c{m}^2$

3. $8\sqrt{2}cm,8c{m}^2$

4. $4\sqrt{2}cm,4c{m}^2$

Q.

A man is standing on the fourth step of a staircase. Each step is 40 cm wide as shown in the figure. Find the distance between the man and the ground if the inclination of the staircase from the ground is ${50}^{\circ }[tan{50}^{\circ }=1.19]$

1. 181.2 cm

2. 175. 5 cm

3. 190.6 cm

4. 210. 6 cm

Q.

The diagonal AC of the given square is 4 cm. Then, its perimeter and area will be equal to ______ and _______ respectively.

1. $8\sqrt{2}cm,4c{m}^2$
2. $4\sqrt{2}cm,8c{m}^2$
3. $8\sqrt{2}cm,8c{m}^2$
4. $4\sqrt{2}cm,4c{m}^2$

Q.

Find, to the nearest degree, the measure of each angle of the triangle with the given measures of the sides $5\sqrt{5},10,15$

Q.

What is the value of $\sin 2A$, If A is $30°$?