Question

Decide weather the polygons are similar if so write the scale factor of triangle XAR triangle MNT
XR=50, MN=27, NT=36

Answer 1

of course, they are similar (two angles match)

Answer 2

the scale factor is \(\frac{\sqrt{27^2+36^2}}{50}\)
\[27^2=0449
\\\;\;\;\;\;\;\;\;\;\;\;\;28
\\\;\;\;\;\;\;=0729\]
\[36^2=0936
\\\;\;\;\;\;\;\;\;\;\;\;\;36
\\\;\;\;\;\;=1296\]
\[1296+729=1025\]
Therefore the scale factor is \(\frac{\sqrt{1025}}{50}\)