Geometry Similarity

[rachelmaddie]

I need help setting this up.

 

[ksdhart2]

You want to end up with the top triangle being similar to the overall triangle. How are the side lengths PQ and QR related? Based on this, how must the side lengths RS and ST be related? What value of \(x\) makes this the case?

 

[rachelmaddie]

You want to end up with the top triangle being similar to the overall triangle. How are the side lengths PQ and QR related? Based on this, how must the side lengths RS and ST be related? What value of \(x\) makes this the case?

x+1/17 = 9/3
3x + 3 = 153
3x = 150
x = 50

 

[lookagain]

x+1/17 = 9/3
3x + 3 = 153
3x = 150
x = 50

You're missing grouping symbols:

(x + 1)/17 = 9/3
3(x + 1) = 17(9)
3x + 3 = 153
3x = 150
x = 50

 

[ksdhart2]

Aside from what lookagain mentioned about the grouping symbols, it looks alright to me. Good job!