Triangle ABC is similar to triangle FGH.

Solve for y.

Picture below. I give medals and fans

Question

Triangle ABC is similar to triangle FGH.

Solve for y.

Picture below. I give medals and fans

shae.mccoy · Answer

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imstuck · Answer

The triangles are similar, and that means that they are in proportion to one another.  Similar sides are proportionate.  Set up a ratio to solve for y.  Like this:

imstuck · Answer

$$\frac{ BC }{GH }=\frac{ AB }{FG }$$

imstuck · Answer

That ratio means that side BC in one triangle is similar to GH in the other triangle.  Side AB in one triangle (the same one that BC came from) is similar to FG, which is the one you don't know and need to solve for.

imstuck · Answer

Just fill in the ratio with the side measures given to you in the diagram.

imstuck · Answer

$$\frac{ 2.5 }{ 12.5 }=\frac{ 6.5 }{y }$$

imstuck · Answer

To solve this all you need to do is cross-multiply.  I'll let you do that and wait to hear back from you that you are even here!

shae.mccoy · Answer

Thank you. You win

shae.mccoy · Answer

$$81.25 + 2.5y$$

shae.mccoy · Answer

Now are you online ? @IMStuck

shae.mccoy · Answer

please finish helping me

shae.mccoy · Answer

@IMStuck

imstuck · Answer

Sorry im here!

imstuck · Answer

Cross multiplying gives you 81.25 = 2.5y

imstuck · Answer

Now divide both sides by 2.5.  What is 81.25 divided by 2.5?  That result is your answer.