Respuesta :

Answer:

6

Step-by-step explanation:

AX=1/2XY,. BX=1/2WX

=) AB||WY and AB=1/2WY. [Midpoint theorem]

=) 2AB=WY

=) 2×3=WY

=)6=WY

PLA MARK IT AS BRAINLIEST (•‿•)(•‿•)(•‿•)

THE MIDLINE THEOREM OF A TRIANGLE

This works for triangles with a Midline having two of these properties:

  1. The midline should be parallel to the third side
  2. The midline is half as long as the third side

The third side of the triangle (the one parallel to its midline) is twice the length of its midline.

Example:

The given question above:

ΔWYX

(Midline) AB = 3

YW = ?

Solution:

[tex]\frac{1}{2}[/tex] YW = AB

[tex]\frac{1}{2}[/tex] YW = 3

YW = (2)3

YW = 6

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