First you’ll have to distribute 6(x) + 6(4) = 48 6(x) = 6x 6x + 6(4) = 48 6(4) = 24 6x + 24 = 48
SUBTRACT by 24 on both sides Like: 6x + 24 - 24 = 48 - 24 Cancel out: 24 - 24 because that gives you 0 Keep: 48 - 24 because that helps us solve for our x 48 - 24 = 24
New equation: 6x = 24
DIVIDE both sides by 6 6x/6 = 24/6 Cancel out: 6/6 because it gives you 1 Keep: 24/6 because it helps us get to the value of x
Since you want to use the SAS theorem, you must find sides that are either side of angles BAC and DAE. You have already made use of sides AE and AC, so the other sides you need to choose are AB and AD. The appropriate relationship for similarity is ...
... AD = 2AB
since you want the sides of triangle ADE to be twice then length of those in triangle ABC.
