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A triangle with vertices labeled as X, Y, and Z. Side X Z is base. Side Y X contains a midpoint M. A line segment drawn from Z to M bisects angle Y Z X into two parts labeled as Y Z M and X Z M. Angles Y Z M and X Z M are marked with single arc. Side Y Z is labeled 7. Base X Z is labeled 11. Side Y M is labeled 3.5.

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danialamin

Answer:

The value of MX is 5.5 units.

Step-by-step explanation:

As the complete question is not given, the complete question is found online and is attached herewith

https://brainly.com/question/11944039

The diagram is attached with the solution.

As the line ZM is dividing the angle in two parts thus as the two angles are equal thus

The sides are given as

XZ=11

YM=3.5

YZ=7

Now by the theorem of the angles, the bisected angles are such that sin(<YZM)=sin(<XZM)

so

[tex]sin(<YZM)=sin(<XZM)\\\dfrac{YM}{YZ}=\dfrac{MX}{ZX}\\\dfrac{3.5}{7}=\dfrac{MX}{11}\\MX=5.5[/tex]

So the value of MX is 5.5 units.

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