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Korvikt [17]
3 years ago
7

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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