Question

Midsegment of triangle
Find X

Answer 1

`10 = x`

Explanation:

This is what is called the Midsegment Theorem, which states that the relation of a triangle's midpunkt is parallel to the triangle's third side, and the mid-segment length is half the third side length, so you would take half of
`4x + 20` and set that expression equal to the midsegment:

2x + 10 = 3x

-2x - 2x

____________

`10 = x`

You then plug this back into both expressions above to get the double-segment of 60 and the mid-segment of 30. We can tell this is correct because 30 and 60 are relatively proportional to each other.

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