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20 votes
4) Find AC A 4 B 3 C 12 d 16

4) Find AC A 4 B 3 C 12 d 16-example-1
User Tozevv
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1 Answer

26 votes
26 votes

We can see from the question that these two triangles are similar since the sides have a ratio of 2/1.

The triangle VUB is similar to triangle CAB. The sides of the triangle VUB are half of the triangle CAB (or the sides of triangle CAB double in measure of the triangle VUB). Then, we can have the next proportions:


(BC)/(BV)=(BA)/(BU)=(AC)/(UV)=2\Rightarrow AC=2\cdot UV\Rightarrow AC=2\cdot6\Rightarrow AC=12

Therefore, AC is equal to 12 units (option C).

User MightyPork
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