Question

Determine as medidas dos catetos do triângulo retângulo.

Answer 1

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Resolução Lei dos Senos .

C) y --------------- 60
seno 45 ------------ seno (90)

seno (45 ) . 60 = y . seno (90)
0.707 . 60 = y .1
[ y= 42,42 cm ]

x ------------- 60
seno (45) -------- seno (90)

seno (45) . 60 = x . seno (90)
0.707 . 60 = x . 1
[ x = 42,42 cm ]

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D ) x -----------------10
seno (60) ------ seno ( 90)

x . seno (90) = 10 . seno (60)
x . 1 = 10 . 0,866
[ x = 8,66 cm ]

y ---------------------- 10
seno (30) -------------- seno (90)

y . seno (90) = 10 × seno (30)
y. 1 = 10 . 0,5
[ y = 5 cm ]

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E) x -------------------- 10
seno (45) ------------- seno (90)

x . seno (90) = seno (45) . 10
x .1 = 0,707 . 10
x = 7,07 cm

y ---------------------- 10
seno (45) -------------- seno (90)

y . seno (90) = 10 . seno ( 45 )
y . 1 = 10 . 0,707
y = 7,07 cm

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F) x------------------ 10
seno (30) --------- seno (90)

x . seno (90) = 10 . seno ( 30)
x . 1 = 10 . 0,5
[x = 5 cm ]

y ----------------------- 10
seno (60) ---------------- seno (90)

y . seno 90 = 10 . seno 60
y . 1 = 10 . 0,866
[ y = 8,66 cm ]
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