similar triangles are multiples of each other. this means the sides multiply by same number to get the other triangle sides. So you can write a ratio of the relationship .
side 6 is to 9 as side 12 is to ?
6/9 = 12/x
cross multiply
6x = 12(9)
6x = 108
x = 108/6
x = 18
the plots of land are similar triangles because all the angles are the same. AAA
make sure when setting up the proportion especially for triangles that appear equilateral that the corresponding sides are used.
side x is between angle 52° and 70° so it matches up with side 7436 on the other triangle. Then side 6180 matches to side 8240
x/7436 = 6180/8240
x = (7436)*(6180/8240)
x = 5577