Side Property of Triangle

Q. The sides of a triangle have lengths(in cm) 10, 6.5 and a, where a is a whole number. Find the minimum and maximum value of 'a', which it can take.

Q.

The length of two sides of a triangle is 3 cm and 4 cm. Which of the following integral values can the third side take?

1. $1$

2. $4$

3. $6$

4. $7$

Q. What type of triangle is $△ABC$, where AB = BC = CA = 12 cm.

1. Scalene triangle
2. Equilateral triangle
3. Isosceles triangle
4. Right angled triangle

Q. In $\Delta$ PQR, PQ = 4 cm, QR = 7 cm and PR = 5 cm, then the largest angle of the triangle is ______.

1. $\angle$Q
2. $\angle$P
3. $\angle$R and $\angle$Q
4. $\angle$R

Q.

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

1. 3, 4, 5

2. 1, 2, 3

3. All of these

4. 2, 4, 6

Q. The length of two sides of a triangle is 10cm and 12cm. What can be the length of the third side?

1. 23 cm
2. 15 cm
3. 25 cm
4. 32 cm

Q.

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

1. 1, 2, 3

2. 2, 4, 6

3. 3, 4, 5

4. All of these

Q.

In a triangle, the length of the side opposite to the larger angle will be greater than the length of side opposite to smaller angle.

1. True

2. False

Q. If the angles of a triangle are $2x^{\circ }$, $3x^{\circ }$​ and $4x^{\circ }$, then find the value of the largest angle.

1. ${40}^{\circ }$
2. ${30}^{\circ }$
3. ${60}^{\circ }$
4. ${80}^{\circ }$

Q.

In an isosceles triangle, the vertical angle is two-fifth of the base angles, then find the measure of the vertical angle.

1. ${45}^{\circ }$

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

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

4. ${25}^{\circ }$