Triangle as Part of Rectangle

Q. How many triangles are there in a rectangle with two diagonals?

1. 8
2. 1
3. 2
4. 3

Q.

Name the type of triangle:

Triangle with lengths of sides $7cm$, $8cm$ and $9cm$.

Q.

In the image, if you mark the points like this:

What is the length of BF?

1. 40 m

2. 30 m

3. 50 m

4. 20 m

Q.

Ted bought a new TV set. He decided to keep it on a shelf in the corner of the room at some height so that the view gets better. If AB = AC = 48 inches, is the space enough for a TV with an area of the base (as isosceles right triangle shape) equal to 1200 square inches so that no part of the TV lies outside the shelf?

​

1. Yes

2. No, 48.5

Q. If the total area of the given figure is 662 sq. in, find the value of unknown length 'y' (in inches).

1. 8
2. 9
3. 12
4. 6

Q.

If $\overleftrightarrow{AD}||\overleftrightarrow{BC},$ then area $\left(\Delta ABC\right)$ = area $\left(\Delta BEC\right)$. = area $\left(\Delta DBC\right)$. Say true or false.

1. True

2. False

Q. Ramu says that the area of $△PQR$ is, $A=\frac{1}{2}\times 7\times 5c{m}^2$
Gopi says that it is, $A=\frac{1}{2}\times 8\times 5c{m}^2$. Who is correct? Why?

Q.

Given that the area of the triangles is the sum of powers of the prime factors of the number 1628. Find the sum of areas of the triangles and find the number of triangles. [4 MARKS]

Q. $△PQR$ is isosceles with $PQ=PR=7.5cm$ and $QR=9cm$. The height $PS$ from $P$ to $QR$, is $6cm$. Find the area of $△PQR$. What will be the height from $R$ to $PQ$ i.e. $RT$?

1. $27c{m}^2;7.2cm$.
2. $23c{m}^2;7.2cm$.
3. None of these
4. $27c{m}^2;3.2cm$.

Q.

Choose the correct option from the given options.

1. a-i b-ii c-iii

2. a-ii b-i c-iii

3. a-iii b-i c-ii

4. a-iii b-ii c-i

Q. If the total area of the given figure is 662 sq. in, find the value of unknown length 'y' (in inches).

1. 12
2. 9
3. 8
4. 6

Q.

Ted bought a new TV set. He decided to keep it on a shelf in the corner of the room at some height so that the view gets better. If AB = AC = 48 inches, is the space enough for a TV with an area of the base (as isosceles right triangle shape) equal to 1200 square inches so that no part of the TV lies outside the shelf? If not, what should be the minimum length of AB?

​

1. Yes

2. No, 48.5

3. No, 49

4. No, 49.5

Q.

The condition for two sets A and B to be disjoint is________.

1. A ∪ B = ∅

2. A ∩ B = ∅

3. B - A = ∅

4. A - B = ∅

Q. In the figure given, PR = 22 cm, SN = MQ = 3 cm. What is the area of PQRS?

1. 63 $c{m}^2$
2. 66 $c{m}^2$
3. 34 $c{m}^2$
4. 198 $c{m}^2$