Question

determine o valor de y nas figuras seguintes

Answer 1

Resolvendo :
a) 1er triangulo :

................./|
.............../..|
........3.../....|..,C.O
............/......|
-----------2

(hipot.)^2 = ( C.O )^2 + ( C.A)^2

(3)^2 = ( C.O )^2 + (2)^2

9 = ( C.O )^2 + 4

( C.O )^2 + 4 = 9

( C.O )^2 = 9 - 4

( C.O )^2 = 5

C.O = \/5

2do triangulo da figura da emcima (foto)

(hipot.)^2 = (C.0)^2 + (C.A)^2

(y)^2 = (\/5)^2 + (8)^2

y^2 = 5 + 64

y^2 = 69

y = \/69


b) 1er triangulo :

............../|
......3..../.|..C.O
.........../...|
........../....|
---------1

(hipot.)^2 = ( C.O )^2 + (C.A)^2

(3)^2 = (C.O)^2 + (1)^2

9 = ( C.O )^2 + 1

( C.O )^2 + 1 = 9

( C.O )^2 = 9 - 1

( C.O )^2 = 8

C.O = \/8

2do triangulo :

(hipt.)^2 = ( C.O )^2 + ( C.A )^2

(6)^2 = (\/8)^2 + ( C.A )^2

36 = 8 + ( C.A )^2

8+ ( C.A )^2 = 36

( C.A )^2 = 36 - 8

( C.A )^2 = 28

C.A = \/28

3er triangulo :

(hipot.)^2 = (C.O )^2 + ( C.A )^2

(\/28)^2 = (3)^2 + ( C.A )^2

28 = 9 + (C.A )^2

9 + ( C.A )^2 = 28

(C.A )^2 = 28 - 9

( C.A )^2 = 19

C.A = \/19