Triangle Inequality Theorem

Q. If two sides of a triangle measure $4\text{cm}$ and $6\text{cm}$ find all possible measurements (positive Integers) of the third side.

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. 12 cm
3. 11 cm
4. 9 cm

Q. Which of the following sides can form the triangle ?

1. AB= 5 m, BC = 4 m, AC =9 m
2. AB= 5 m, BC = 4 m, AC =8 m
3. AB= 5 m, BC = 4 m, AC =14 m
4. AB= 5 m, BC = 4 m, AC = 12 m

Q. x is an integer greater than 16. Find the value of x - 10, if x is the length of the side AC of the triangle given below.

1. 7
2. 17
3. 10
4. 18

Q.

The difference of any two sides of a triangle is __ than the third side.

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. 12 cm
3. 9 cm
4. 11 cm

Q.

Difference of any two sides of a triangle is ................... than the third side

__

Q.

Sum of any two sides of a triangle is __than the third side.

Q. Atmost how many obtuse angle(s) can we have in a triangle?

1. 3
2. 2
3. 0
4. 1

Q. 6cm, 7cm and 9cm can represent sides of a triangle.

1. True
2. False

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

1. BC < 13 cm
2. BC < 7 cm
3. BC > 13 cm
4. BC = 13 cm

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

1. BC < 13 cm
2. BC < 7 cm
3. BC > 13 cm
4. BC = 13 cm

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. Sum of lengths of any two sides of a triangle is always less than the length of the third side.

1. True
2. False