Question

calcule o valor de x e y nos triângulos a seguir:

Answer 1

Resposta:

a) x = 4 , c = 6√2 , b ) x = 3√3 , y = 3, c) y= 20, x= 20

Explicação passo-a-passo:

a) Hipotenusa: 8 , Cateto x = x , Cateto Sem valor = y.

Sen30graus = x/8

1/2 = x/8 , 2x = 8, x = 8/2, x = 4

Pitágoras : 8² = x² + c²

64 = 4 ² + c²

64 = 16 + c²

64 - 12 = c²

c = √52 , Simplificando 52/2 = 36/2 = 18/2 = 9/3 = 3/3 = 1

√2²+2+3²

c = 6√2

b) sen60graus = x/6

√3/2 = x/6

2x = 6√3

x = 6√3/2

x = 3√3

Cossenode60graus = y/6

1/2 = y/6

2y = 6

y= 6 /2

y = 3

c) sende45graus = y/20√2

√2- y

2       20√2

2y = 2 * 20

2y = 40

y = 40/2

y = 20,

cossde45graus = x/20√2

√2/2 = x/20√2

2x = 40/2

x = 20