Given triangle ABC ~ triangle XYZ calculate the value of XY and AC. Round to the nearest tenth

Answer:

XY = 3.5, AC = 11

XY = 11, AC = 5.3

XY = 3.5, AC = 0.08

XY = 5.3, AC = 11

Question

Given triangle ABC ~ triangle XYZ calculate the value of XY and AC. Round to the nearest tenth 

Answer: 
		 
XY = 3.5, AC = 11 		

XY = 11, AC = 5.3 		 

XY = 3.5, AC = 0.08 		 

XY = 5.3, AC = 11

anonymous · Answer

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sammixboo · Answer

Well, ~ means they are similar, and you can find the scale factor to solve this problem. Do you know what the scale factor is?

anonymous · Answer

isnt it the cross multiply..?

sammixboo · Answer

Hmm, you are trying to find out how many times $\Delta$ABC bigger than $\Delta$XYZ and you can do this by seeing how many times 4.5 goes into 9, so what is 9/4.5?

anonymous · Answer

ohh ok so 9/4.5 would be 2

anonymous · Answer

shouldnt we do 7/5.5 too?

anonymous · Answer

no never mind...

sammixboo · Answer

Yes, so the scale factor is 2. That tells you that $\Delta$ABC is two times bigger than $\Delta$XYZ so that means the sizes of $\Delta$ABD are two times bigger than $\Delta$XYZ

sammixboo · Answer

Now let's start with AC. We know that the lines AC is 2x bigger than XZ, so what is the length of AC?

sammixboo · Answer

Just multiply the length of XZ by 2

sammixboo · Answer

Are you there @Addicto_

anonymous · Answer

5.5 * 2 = 11

sammixboo · Answer

Correct, so AC = 11, which cancels out two choices - B and C

sammixboo · Answer

Now do you know how to find XY?

sammixboo · Answer

Oh, another thing. $\Delta$XYZ sizes are half the sizes of $\Delta$ABC

anonymous · Answer

7/2 = 3.5

sammixboo · Answer

Correct, so XY - 3.5 and AC - 11

sammixboo · Answer

So choice A