The midline or midsegment has a length equal to half of the third side.
Therefore, the length of the third side is 45 cm × 2 = 90 cm.
Response:
- The length of the third side is 90 cm
Which theorem can be used to find the length of the third side?
Given:
The length of the midline = 45 cm
Required:
The length of the third side
Solution:
The midline is the line joining the midpoint of two sides of a triangle.
According to the midsegment theorem, the midline of a triangle is
parallel to the third side and has a length equal to half the length of the
third side.
Which gives;
The length of the mid line = [tex]\mathbf{\frac{1}{2}}[/tex] × The length of the third side
Let x represent the length of third side, we have;
45 = [tex]\frac{1}{2}[/tex] × x
Which gives;
The length of the third side, x = 2 × 45 cm = 90 cm
Learn more about the midsegment theorem here:
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