# Difference between Lengths of 2 Sides of a Triangle

## Trending Questions

**Q.**Question 6

The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two values should the length of the third side fall?

**Q.**

If two sides of a triangle are 4 cm and 5 cm then which of the following cannot be the length of third side?

10 cm

7 cm

6 cm

8 cm

**Q.**If the length of two sides of a triangle are 5 cm and 12 cm, then which of the following cannot be the length of the third side?

- 9 cm
- 5 cm
- 13 cm
- 12 cm

**Q.**

Two sides of a triangle have lengths of 5 units and 6 units respectively. Which of the following is a possible length for the third side?

11

12

13

10

**Q.**

Question 1 (ii)

Is it possible to have a triangle with the following sides?

3 cm, 6 cm, 7cm

**Q.**

Which of the following statements are not correct?

a) The sum of any two sides of a triangle is greater than the third side.

b) A triangle can have all its angles acute.

c) A right-angled triangle cannot be equilateral.

d) The difference of any two sides of a triangle is greater than the third side.

**Q.**

Each of the 2 side of isosceles triangle os three times as large as third side . If the perimeter of the triangle is 28 cm, find each of the the triangle

**Q.**

State True or False whether a triangle with sides 2 cm, 3 cm and 5 cm is possible.

True

False

**Q.**The two sides of a triangle are 5 cm and 12 cm. Which of the following can be the third side of the triangle?

- 5 cm
- 10 cm
- 13 cm
- 4cm

**Q.**A and B can do a piece of work in 45 days and 40 days respectively. They begin together but A leaves after some days and B completes the rest in 23 days. For how many days did A work ?

- 9 days
- 6 days
- 8 days
- 12 days

**Q.**

A triangle with sides 2 cm, 3 cm and 5 cm is possible.

True or false?

True

False

**Q.**

A triangle with sides 2cm, 3cm and 5cm is possible.

True

False

**Q.**Find the area of the shaded portion in the following figure :

**Q.**

Sum of any two sides of a triangle is always _________ than the third side.

Equal

Not sure

Lesser

Greater

**Q.**

Question 72

State whether the statement is True or False.

The difference between the lengths of any two sides of a triangle is smaller than the length of third side.

**Q.**The hypotenuse of a triangle is 2.5 cm. If one of the sides is 1.5 cm, find the length of the other side.

**Q.**If the area of a triangle is 1176cm2 and base: corresponding altitude is 3:4, then the altitude of the triangle is:

- 42cm
- 52cm
- 54cm
- 56cm

**Q.**

Which of the following sides can give a valid triangle?

12 cm, 3 cm, 7 cm

2 cm, 3 cm, 7 cm

5 cm, 3 cm, 7 cm

2 cm, 10 cm, 7 cm

**Q.**In a ΔABC, which of the given condition holds?

- AB+BC<CA
- AB−BC<CA
- AB−BC>CA
- AB+CA<BC

**Q.**

What could be the length of the third side of a triangle whose other two sides are 3 cm and 8 cm?

True

False

- 13
- 15

**Q.**The triangle ABC formed by AB=5cm, BC=8cm, AC=4cm is

- an isosceles triangle only
- a scalene triangle only
- an isosceles right triangle
- scalene as well as a right triangle

**Q.**

Which of the following sides form a triangle?

5.2 cm, 1.1 cm, 2.5 cm

10.5 cm, 4.5 cm, 4.5 cm

7.2 cm, 4.1 cm, 3.5 cm

7.2 cm, 4.1 cm, 2.5 cm

**Q.**Which of the following can be the third side of the triangle when two sides are 10 cm, 5 cm?

- 7 cm
- 2 cm
- 1 cm
- 4 cm

**Q.**The difference between the lengths of any two sides of a triangle is lesser than the length of the third side.

- False
- True

**Q.**

ABC is a triangle such that AB = 10 cmand AC = 3 cm. Which of the followingstatements are true?

BC>7 cm

BC=6 cm

BC<13 cm

BC=14 cm

**Q.**The two sides of a triangle are 5cm and 12cm. Which of the following can be the third side of the triangle?

- 5cm
- 10cm
- 13cm
- 4cm

**Q.**Which of the following can be the third side of the triangle when two sides are 10cm, 5cm?

- 7cm
- 2cm
- 1cm
- 4cm

**Q.**

ABC is a triangle such that AB = 10 cmand AC = 3 cm. Which of the followingstatements are true?

BC>7 cm

BC=6 cm

BC<13 cm

BC=14 cm

**Q.**If two sides of an isosceles Δ are 3 cm and 8 cm, then the length of the third side is :

- 3 cm
- 8 cm
- none
- 3 cm or 8 cm

**Q.**ΔABC is isosceles with AB=AC=7.5cm and BC=9cm. The height AD from A to BC, is 6cm. Find the area of ΔABC. What will be the height from C to AB i.e., CE?