Consider the diagram. What is the length of segment AB? A) 7 B) 9 C) 18 D) 25
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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
Hence This condition is true.
Condition 2:
Second side + Third Side > First side
Hence This condition is False.
Condition 3:
First side + Third Side > Second side
Hence This condition is true.
Since One of the condition is false hence With given side lengths a triangle could not be created.