doughboy123
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△ABC is similar to △XYZ. Also, side AB measures 6 cm, side BC measures 18 cm, and side XY measures 12 cm.

What is the measure of side YZ ?



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Respuesta :

Answer:

value of sides YZ is 36 cm

Step-by-step explanation:

Similar triangles states that the length of the corresponding sides are in proportion.

Given that: ΔABC is similar to ΔXYZ

then;

Corresponding sides are in proportion i.e

[tex]\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}[/tex]    .....[1]

As per the statement:

side AB = 6 cm, side BC =18 cm and side XY = 12 cm.

Substitute these in [1] to solve for side YZ;

[tex]\frac{6}{12}= \frac{18}{YZ}[/tex]

or

[tex]\frac{1}{2} = \frac{18}{YZ}[/tex]

By cross multiply we have;

[tex]YZ = 36[/tex] cm

Therefore, the value of sides YZ is 36 cm


JeanaShupp

Answer: YZ=36 cm


Step-by-step explanation:

Given: △ABC is similar to △XYZ.

Side AB =6 cm, side BC = 18 cm, and side XY=12 cm.

We know that if two triangles are similar then their sides are proportional.

Therefore, if △ABC is similar to △XYZ.

Then, [tex]\frac{AB}{XY}=\frac{BC}{YZ}\\[/tex]

[tex]\\\Rightarow\frac{6}{12}=\frac{18}{YZ}\\\Rightarrow\ YZ=\frac{18\times12}{6}\\\Rightarrow\ YZ=36\ cm[/tex]

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