Question:
An isosceles triangle has a base of 9.6 units long. If the congruent side lengths have measures to the first decimal place, what is the possible length of the sides? 9.7, 4.9, or 4.7
Answer:
4.9 is the shortest possible length of the sides.
Step-by-step explanation:
Given:
The base of the triangle base = 9.2 units
To Find:
The shortest possible length of the sides = ?
Solution:
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.
So According to the theorem
[tex]x+x > 9.6[/tex]
[tex]2x > 9.6[/tex]
[tex]x > \frac{9.6}{2}[/tex]
[tex]x > 4.8[/tex]
In the given option 4.9 is the shortest length greater than 4.8 that can be possible.
