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Need help with math:/!!!!

MN is 6 units. Find the lengths of NZ and XZ.

For the image see if you have enough info to find the missing lengths. If not, explain why.

Need Help With Math MN Is 6 Units Find The Lengths Of NZ And XZ For The Image See If You Have Enough Info To Find The Missing Lengths If Not Explain Why class=

Answer :

XENIA168GO

Answer:

Step-by-step explanation:

[tex]\frac{3 +NZ}{3}[/tex] = [tex]\frac{5+5}{5}[/tex]  ⇒  NZ = 3

XZ = 6 × 2 = 12

The length of NZ = 3 units.

The length of XZ = 12 units

Triangle Proportionality Theorem

What is Triangle Proportionality Theorem?

A line that runs perpendicular to one side of a triangle and crosses the other two sides equally splits the two sides.

Use of Triangle Proportionality Theorem to find the sides:

Step 1: Consider side NY, NZ, YM, MX

By the theorem,

[tex]\frac{YN}{NZ}=\frac{YM}{MX}[/tex]

[tex]\frac{3}{NZ}=\frac{5}{5}[/tex]

[tex]NZ=3[/tex] units

Step 2: Consider sides YM, YX, NM, ZX

[tex]\frac{YM}{YX} =\frac{NM}{ZX}[/tex]

[tex]\frac{5}{10} =\frac{6}{ZX}[/tex]

[tex]ZX = 12[/tex] units.

Therefore, the values for the sides are NZ = 3 units and XZ = 12 units.

To know more about more about similar triangles, here

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