SOLUTION: How do I find which two triangles are similar? a) 48 degree and 69 degree b) 63 degree and 48 degree c) 63 degree and 78 degree

Question 44114: How do I find which two triangles are similar? a) 48 degree and 69 degree b) 63 degree and 48 degree c) 63 degree and 78 degree
Answer by adamchapman(301) (Show Source): You can put this solution on YOUR website!
All the angled inside a triangle add up to 180 degrees.
Let the angle we dont know in triangle (a) be called "A"
48+69+A=180
A=180-69-48=63 degrees
Now list all the anlges in triangle (a): 48, 63 and 69 degrees
Now do the same for triangle (b):
63+48+B=180
B=69 degrees
Now list all the anlges in triangle (b): 48, 63 and 69 degrees
Therefore triangles (a) and (b) are similar.
The unknown angle in triangle (c) is:
C=180-63-78=39 degrees
There are no 39 degree angles in triangles (a) and (b), so (c) is not similar to the other triangles.
I hope this helps
P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk
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