Question

No triângulo ABC dertermine a medida de AC sabendo que MP // BC como mostra a figura a seguir

Answer 1

2 / 7 = 2x - 2 / 3x + 3

2(3x + 3) = 7(2x - 2)

6x + 6 = 14x - 14

6x - 14x = - 14 - 6

- 8x = - 20 * (-1)

8x = 20

x = 20/8

x = 5/2

AC = AP + PC

AC = (2x - 2) + (3x + 3)

AC = (2*5/2 - 2) + (3*5/2 + 3)

AC = (5 - 2) + (15/2 + 3)

AC = 3 + (21/2)

AC = 27/2

AC = 13,5

Answer 2

2 / 7 = 2x - 2 / 3x + 3

2(3x + 3) = 7(2x - 2)

6x + 6 = 14x - 14

6x - 14x = - 14 - 6

- 8x = - 20 * (-1)

8x = 20

x = 20/8

x = 5/2

AC = AP + PC

AC = (2x - 2) + (3x + 3)

AC = (2*5/2 - 2) + (3*5/2 + 3)

AC = (5 - 2) + (15/2 + 3)

AC = 3 + (21/2)

AC = 27/2

AC = 13,5