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D is a point on side BC of DeltaA B Csuc...

D is a point on side BC of `DeltaA B C`such that `A D\ =\ A C`(see Fig. 7.47).Show that `A B\ >\ A D`.

Text Solution

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`/_ADC` is a isosceles triangle
`angleADC=angleACD`
In`/_ ABD`
`angleADC=angleABD+angleBAD`
`angleADC>angleABC`
`angleACD>angleABC`
`angleACB>angleABC`
In`/_ ABC`
...
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