Answer:
With given side lengths a triangle <u>could not</u> be created.
Step-by-step explanation:
Given:
First side length = 7.7 cm
Second side length = 4.0 cm
Third side length = 1.7 cm
We need find whether this could be the side length of the triangle.
Solution:
Now we know that;
By Triangle In equality property which states that;
"Sum of the two side length of the triangle must be greater than third side."
It should fulfill all three conditions;
So we will find the same.
Condition 1:
First Side + Second Side > Third side
![7.7+4.0>1.7\\\\11.7>1.7](https://tex.z-dn.net/?f=7.7%2B4.0%3E1.7%5C%5C%5C%5C11.7%3E1.7)
Hence This condition is true.
Condition 2:
Second side + Third Side > First side
![4.0+1.7>7.7\\\\5.7>7.7](https://tex.z-dn.net/?f=4.0%2B1.7%3E7.7%5C%5C%5C%5C5.7%3E7.7)
Hence This condition is False.
Condition 3:
First side + Third Side > Second side
![7.7+1.7>4.0\\\\9.4>4.0](https://tex.z-dn.net/?f=7.7%2B1.7%3E4.0%5C%5C%5C%5C9.4%3E4.0)
Hence This condition is true.
Since One of the condition is false hence With given side lengths a triangle could not be created.