Midsegment Theorem Math Example 3

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Example 3

easy
The midsegment of a triangle has length 14. What is the length of the side parallel to the midsegment?

Solution

  1. 1
    Step 1: The Midsegment Theorem states that the midsegment is half the length of the parallel side.
  2. 2
    Step 2: If midsegment =14= 14, then the parallel side =2×14=28= 2 \times 14 = 28.

Answer

The parallel side is 2828.
The relationship works in both directions: midsegment =12×= \frac{1}{2} \times third side, equivalently, third side =2×= 2 \times midsegment. If you know either one, you can find the other.

About Midsegment Theorem

A segment connecting the midpoints of two sides of a triangle is parallel to the third side and exactly half its length.

Learn more about Midsegment Theorem →

More Midsegment Theorem Examples

Example 1 easy

In [formula], [formula] is the midpoint of [formula] and [formula] is the midpoint of [formula]. If

Example 2 medium

In [formula], [formula] is the midpoint of [formula] and [formula] is the midpoint of [formula]. If

Example 4 hard

In [formula], the three midsegments are drawn, dividing the triangle into four smaller triangles. If

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