Question

Calcula los lados desconocidos

Answer 1

En todos los casos se cumple el teorema de Thales.

5 a)

y/5 = (y - 5)/2 = y/2 - 5/2

y/2 + y/5 = 5/2; 3/10 y = 5/2.

y = 25/3

5 b)

x/y = 2 x/3; y = 3/2

y + 3 = 5 x; 3/2 + 3 = 5 x

5 x = 9/2; x = 9/10

6 a)

x/3 = y/8; x + y = 8; y = 8 - x

x/3 = (8 - x)/8

8 x = 3 (8 - x) = 24 - 3 x

11 x = 24;

x = 24/11;

y = 8 - 24/11 = 64/11

6 b)

(x + 4)/6 = x/y; 3 y = y + 6; y = 3

(x + 4)/6 = x/3; x + 4 = 2 x; x = 4

Mateo