Răspuns:
a) din MN//AC=> conf Thales
BM/BC=BN/AB
din MP//AB=> conf Thales
AP/AC=BM/BC
Dinn cele 2 relatii=>
BM/BC=BN/AB=AP/AC adica
AP/AC=BN/AB
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b)Conf Thales avem
CP/AC=CM/CB<=>
CP/AC=(BC-BM)/BC=>
CP/AC=BC/BC-BM/BC
CP/AC+BM/BC=1
Explicație pas cu pas: