Matematika

Pertanyaan

if triangle ABC and triangle DEF are similiar,the value of x + y=.... cm
panjang a ke C = 18cm
if triangle ABC and triangle DEF are similiar,the value of x + y=.... cm panjang a ke C = 18cm

1 Jawaban

  • DE = 5 cm (triple pythagoras)

    [tex] \frac{bc}{ef} = \frac{ac}{df} \\ \frac{x}{3} = \frac{18}{4} \\ 4x = 54 \\ x = \frac{54}{4} \\ x = 13.5[/tex]
    [tex] \frac{ab}{de} = \frac{ac}{df} \\ \frac{y}{5} = \frac{18}{4} \\ 4y = 90 \\ y = 22.5 [/tex]
    jadi x + y = 13,5 + 22,5 = 36,0



    semoga membantu