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If the altitude from one vertex of a tri...

If the altitude from one vertex of a triangle bisects the opposite side; then the triangle is isosceless.

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Given A `DeltaABC` in which `AD_|_BC and BD=DC`.
TO PROVE AB = AC.
PROOF In `DeltaADB and DeltaADC,` we have
BD = DC (given),
AD = AD (common)
and `angleADB=angleADC=90^(@)`
`therefore DeltaADB~=DeltaADC" (SAS-criteria)."`
Hence, Ab = AC (c.p.c.t.).
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