SSS Similarity
How to use the SSS similarity to show that the given triangles are similar: postulate, 1 example, and its solution.
Postulate
For two triangles,
if three sides of each triangle are proportional
(a/a' = b/b' = c/c'),
then those two triangles are similar.
This is the SSS similarity postulate.
(Side-Side-Side similarity)
Example
Solution
Solution (Detail)
Draw △ABD.
Draw △DCB.
Make the shape of △DCB
the same as △ABD.
Use these two triangles
to show that △ABD and △DCB are similar.
Find the ratios of each corresponding sides.
6/3 = 2
4/2 = 2
8/4 = 2
6/3 = 2
4/2 = 2
8/4 = 2
So 6/3 = 4/2 = 8/4.
Three sides of each triangle are proportional:
6/3 = 4/2 = 8/4.
Then, by the SSS similarity postulate,
△ABD and △DCB are similar.
This is the proof of the example.