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3 years ago

Given: ABC is similar to XYC. If BY = 6, YC = 10, AX = 18, then XC = 10.8 5 30 48

Mathematics

2 answers:

DIA [1.3K]3 years ago

4 0

Answer:

The answer is C

Step-by-step explanation:

Sidana [21]3 years ago

3 0

Answer:

The correct option is 3. The length of XC is 30.

Step-by-step explanation:

It is given that triangle ABC and triangle XYC are similar.

According to the properties of similar triangles, then corresponding sides of similar triangles are congruent.

In triangle ABC and triangle XYC,

$\frac{AB}{XY}=\frac{BC}{YC}=\frac{AC}{XC}$

Let the length of XC be x.

From the below figure it is notices that

$AC=AX+XC=18+x$

$BC=BY+YC=6+10=16$

$\frac{16}{10}=\frac{18+x}{x}$

$16x=180+10x$

$6x=180$

$x=30$

Therefore correct option is 3. The length of XC is 30.

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