Side Lengths

Q.

State true or false for the following statement: Sum of any two sides of a triangle is greater than the third side.

1. True

2. False

Q.

Difference of any two sides of a triangle is equal to the third side. True or False.

1. True

2. False

Q.

$\Delta ABC$ is a right triangle right angled at B. AD and CE are the two medians drawn from A and C respectivley. If AC =5cm and AD $=\frac{3\sqrt{5}}{2}$ cm, then CE =??

1. 5 cm

2. 4 cm

3. $2\sqrt{5}cm$

4. $3\sqrt{5}cm$

Q.

In Fig. PQR is a triangle and S is any point in its interior, show that SQ + SR < PQ + PR. [3 MARKS]

Q. In the given figure, PQR is a triangle and S is any point in its interior. Which of the following options is correct?

1. SQ + SR > PQ + PR
2. SQ + PQ > SR + PR
3. SQ + SR < PQ + PR
4. SQ - SR > PQ - PR

Q.

ABC is a triangle such that $AB=10$ and $AC=3$. The side BC is:

1. Equal to 7

2. Greater than 7

3. Less than 7

4. None of these

Q.

Sum of any two sides of a triangle is always __________ third side in a triangle.

1. Less than

2. Equal to

3. Greater than

4. Cannot be determined

Q.

In a right triangle ABC right angled at B, the square of hypotenuse is equal to twice the product of the perpendicular sides. Find the measure of $\angle A.$

1. Can't be found

2. ${30}^{\circ }$

3. ${60}^{\circ }$

4. ${45}^{\circ }$

Q.

In figure, if QT $\perp$ PR, $\angle$TQR = ${40}^{\circ }$, and $\angle$SPR = ${50}^{\circ }$, find the sum of angles x and y.

1. 110

2. 120

3. 130

4. 150

Q.

The difference of any two sides of a triangle is equal to the third side. Statement is True/False.

1. False

2. True

Q.

Represent $100$ using dots, as squares.

Q.

ABC is a triangle such that $AB=10$ and $AC=3$. The side BC is:

1. Equal to 7

2. Greater than 7

3. Less than 7

4. None of these

Q.

Represent $64$ using dots, as squares.

Q. In a triangle PQR, PQ = 7 cm, QR = 6 cm, then the side PR should be less than ______.

1. 15 cm
2. 13 cm
3. 21 cm
4. 19 cm

Q.

Represent $121$ using dots, as squares.

Q.

Sum of two sides of a triangle is greater than the third side.

1. True

2. False

Q. In Fig. $PQR$ is a triangle and $S$ is any point in iits interior. show that $SQ+SR<PQ+PR$

Q.

In the given figure, PQR is a triangle and S is any point in its interior. Then which of the following options is correct?

1. $SQ+SR<PQ+PR$
2. $SQ+SR>PQ+PR$
3. $SQ+PQ>SR+PR$
4. $SQ-SR>PQ-PR$

Q. In a triangle PQR, PQ = 7 cm, QR = 6 cm, then the side PR should be less than ______.

1. 15 cm
2. 13 cm
3. 21 cm
4. 19 cm

Q.

In Fig. PQR is a triangle and S is any point in its interior, show that SQ + SR < PQ + PR. [3 MARKS]

Q.

In the given figure, PQR is a triangle and S is any point in its interior. Then which of the following option is correct?

1. $SQ+SR<PQ+PR$
2. $SQ+SR>PQ+PR$
3. $SQ+PQ>SR+PR$
4. $SQ-SR>PQ-PR$

Q.

In the given figure, PQR is a triangle and S is any point in its interior. Then which of the following options is correct?

1. $SQ+SR<PQ+PR$
2. $SQ+SR>PQ+PR$
3. $SQ+PQ>SR+PR$
4. $SQ-SR>PQ-PR$

Q.

Which of the following could represent length of sides of a triangle?

1. 2, 4, 6

2. All of these

3. 3, 4, 5

4. 1, 2, 3

Q.

In a triangle, difference of any two sides of a triangle is always _____ the third side.

1. less than

2. greater than

3. greater than or equal to

4. less than or equal to

Q. If in △ZXY and △FED, XY/EF = YZ/FD = XZ/ED, then which of the following option is true?

1. △XYZ ~ △DEF
2. △ZXY ~ △EFD
3. △XYZ ~△EFD
4. △ZXY ~ △EDF

Q. Ratio of areas of two similar triangles is ___ the square of ratio of their corresponding sides.

1. half
2. equal to
3. twice
4. thrice