Question

Medal for help with polygons

Answer 1

See for similarity we need the ratio of corresponding sides to be equal..

Answer 2

Alright

Answer 3

For example consider this figure...



Triangles ABC and PQR are similar so:

\(\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}\)

Answer 4

Any doubt till now?

Answer 5

Now, can you write a similar expression for the given figure?

Answer 6

i'll try

Answer 7

Great :)

Answer 8

2(x-6)/28=15/9

Answer 9

Great!!

Answer 10

Just one thing.. that should be 2x - 6 not 2(x-6)

Answer 11

So we have this equation...

\[\cfrac{2x - 6}{28} = \cfrac{15}{9}\]

Can you solve this to obtain x ?

Answer 12

26.3333

Answer 13

Great!! That's right :)

Answer 14

Thank you so much for your help!

Answer 15

Your welcome :)