Question

In triunghiul ABC, M apartine (AB), N apartine (AC), MN // BC, AB = 6cm, AM = 2cm, NC = 10cm, MN = 6cm.
Care este lungimea lui BC daca AN = 5cm, AC = 15cm si MB = 4cm ?

Answer 1

ΔABC, MN || BC   => ΔAMN  ≈ ΔABC  =>TFa

<=> AM/AB=AN/AC=MN/BC  <=>

<=>2/6= 5/15= 6/BC  <=>

<=> 1/3=1/3 =6/BC   =>BC= 3*6=18 cm