# Let #hat(ABC)# be any triangle, stretch #bar(AC)# to D such that #bar(CD)≅bar(CB)#; stretch also #bar(CB)# into E such that bar(CE)≅bar(CA). Segments #bar(DE) and bar(AB)# meet at F. Show that #hat(DFB# is isosceles?

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Given any triangle #hat(ABC)# , stretch #bar(AC)# to D such that #bar(CD)≅bar(CB)# ; stretch also #bar(CB)# into E such that bar(CE)≅bar(CA).Segment #bar(DE) and bar(AB)# meet at F. Show that #hat(DFB# is isoscheles?

Given any triangle

##### 1 Answer

Jun 19, 2016

As follows

#### Explanation:

Ref:Given Figure