Question

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.​

Answer 1

Answer:

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