Question

Exercitiu 3 va rog !!! Dau coroana !!! RAPID

Answer 1

Răspuns:

∆ABC≈∆AMN:MN ll BC

a) AM=14cm. AB=7cm AN=16cm

rapoarte de la asemănare

AM/AB=AN/AC=MN/BC

14/7=16/AC=MN/BC

AC=(7×16)/14=16/2=8cm

MB=AM-AB=14-7=7cm

NC=AN-AC=16-8=8cm

b)AM=9cm AB=3,2cm AC=8,4cm

AM/AB=AN/AC=MN/BC

9/3,2=AN/8,4

AN=(9×8,4)/3,2=9×2,1/0,8=189/8cm

NC=189/8-8,4=189/8-42/5=15,2cm

AN/AC=MN/BC

AC=8,4cm

MB=AM-AB=9-3,2=5,8cm

?MB=5,8,NC=15,2,AC=8,4cm

c)AM=8√7 AB=2√7 cmCN=12√2cm

?MB CA AN

MB=AM-AB=8√7-2√7=6√7cm

AM/AB=AN/AC

8√7/2√7=(12√7+AC)/AC

4AC=AC+12√7cm

3AC=12√7cm

AC=4√7cm

AN=4√7+12√7=16√7cm