Question

daca MN = 50 cm si A apartine MN, astfel incat AM/AN = 2/3, aflati lungimea segmentului MA

Answer 1

Răspuns:

Salut!

Daca AM/AN=2/3 ----> AM=2p si AN=3p

MN=AM+AN

MN=2p+3p

MN=5p

Dar MN=50 cm -----> 50=5p , p=10

MA=2p

MA=2x10

--->MA=20 cm

Answer 2

MN=50 cm

A ∈ MN

AM/AN=2/3 => 3AM=2AN

AM+AN=MN |*3

3AM+3AN=3MN => 2AN+3AN=3*50 => 5AN=150 cm

AN=150/5 => AN=30 cm

3AM=2AN => 3AM=2*30

3AM=60 cm => AM=60/3 => AM=20 cm

Verificare : AM + AN = 20 + 30 = 50 = MN ✓

Lungimea segmentului MA este 20 cm .