Define the property for lengths of sides of the triangle. Using it, state whether a triangle is possible with sides: 10.7 cm, 5.6 cm and 3.5 cm.
Asked by Topperlearning User | 18th Nov, 2013, 03:44: AM
The property of sides of triangle states that:
"Sum of the lengths of any two sides of a triangle is greater than the length of the third side."
The sides of a triangle are given as 10.7 cm, 5.6 cm, 3.5 cm
Suppose such a triangle is possible. Then the above property can be applicable. Let us check that.
10.7 + 5.6 = 16.3, which is greater than 3.5
5.6 + 3.5 = 9.1, which is less than 10.7
Thus the property is not satisfied.
Hence, the triangle is not possible.
Answered by | 18th Nov, 2013, 05:44: AM
- Prove that the difference of any two sides of a triangle is less than the third side.
- The lengths of two sides of a triangle are 11 cm and 14 cm. Between what two measures should the length of the third side fall?
- Is it possible to have a triangle with the sides having following lengths? 5 cm, 3 cm, 4 cm
- Is it possible to have a triangle with the following sides? 2 cm, 9 cm, 6 cm
- Between what two measures should the length of the side DB fall?
- What range of length is possible for the third side, x?
- Two sides of a triangle are 6 cm and 10 cm long. Determine a range of possible measures for the third side of the triangle.
- The length of x is such that 2 < x < 8. What is the length y of the given triangle?
- Is it possible to construct a triangle with sides measuring 20 cm, 25 cm and 48 cm?
Kindly Sign up for a personalised experience
- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions
Verify mobile number
Enter the OTP sent to your number