Triangle Inequality

Q. 5, 7, and x are the lengths of the sides of a triangle. Find the range of values of x.
[1 mark]

Q. ABC is a triangle such that $AB=10\text{cm}$ and $AC=3\text{cm}$. Then side BC is

1. equal to 7 cm
2. greater than 7 cm
3. less than 7 cm
4. cannot be determined

Q.

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

1. True

2. False

Q.

Which of the following given lengths can be the sides of a triangle?

1. 3 cm, 4 cm, 5 cm

2. 1 cm, 2 cm, 3 cm

3. 4 cm, 2 cm, 1 cm

4. 2 cm, 4 cm, 6 cm

Q.

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

1. Greater than

2. Less than

3. Equal to

4. Cannot be determined

Q.

In the figure below, if AC$>$AB and D is point on AC such that AB = AD, then the relation between BC and CD is BC$>$CD.

1. True

2. False

Q.

In a triangle, difference of any two sides of a triangle is always less than the third side. State True/False

1. True

2. False

Q.

Two sides of a scalene triangle measure 7 cm and 3 cm. What could be the measure of the third side?

1. 10 cm
2. 11 cm
3. 12 cm
4. 9 cm

Q.

In $△$ NUT, if NU =71 cm and UT = 92 cm. What is the length of side NT?

1. 21 cm

2. 22 cm

3. 20 cm

4. 19 cm

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

1. False
2. True