Answer:
The given three sides can not form a triangle.
Step-by-step explanation:
Given three sides:
Length of first side = 7.7 cm
Length of second side = 4.0 cm
Length of third side = 1.7 cm
To find:
Whether these three sides can possibly be the three sides of a triangle ?
Solution:
Here, we can use the property of sides of a triangle:
<em>The sum of the lengths of any two sides must be greater than the length of third side.</em>
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Now, let us try to verify this property.
Length of first side + Length of second side = 7.7 + 4.0 = 11.7 cm which is greater than the length of third side i.e. 1.7 cm
Length of first side + Length of third side = 7.7 + 1.7 = 9.4 cm which is greater than the length of second side i.e. 4.0 cm
Length of second side + Length of third side = 4.0 + 1.7 = 5.7 cm which is <em>not greater than the length of first side </em>i.e. 7.7 cm
Therefore, the property does not hold true.
It can be concluded that, the given three sides can not form a triangle.
