in given figure ed | | ab, ab = 10 cm ,bc 6 cm , ac 8 cm and ge 3 cm . list all the similar tringles . how many pairs of similar triangle are possible.
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From the given figure the similar triangles are ΔABC, ΔEGC, ΔEDF, ΔCDH, ΔBFH, ΔAFG.
To select pair of triangles from collection 6.
6C2 = 6*5/1*2 = 15
This shows there are total 15 pairs of similar triangles.
ΔEFD ~ ΔBFH
ΔEFD ~ ΔCDH
ΔEFD ~ ΔEGC
ΔEFD ~ ΔAGF
ΔBFH ~ ΔAGF
ΔCDH ~ ΔAGF
ΔCDH ~ ΔBFH
ΔABC ~ ΔEGC
ΔABC ~ ΔBFH
ΔABC ~ ΔEFD
ΔABC ~ ΔCDH
ΔABC ~ ΔAGF
ΔEGC ~ ΔBFH
ΔEGC ~ ΔAGF
ΔEGC ~ ΔCDH
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