Question

NO LINKS!!!

Find the indicated side for each triangle below:​

Answer 1

Problem 5

Apply the Law of Sines

s/sin(S) = r/sin(R)

s/sin(78) = 10/sin(48)

s = sin(78)*10/sin(48)

s = 13.162274

Answer: 13.162274 approximately

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Problem 6

Use the Law of Sines here as well.

x/sin(X) = y/sin(Y)

x/sin(53) = 6/sin(22)

x = sin(53)*6/sin(22)

x = 12.791588

Answer: 12.791588 approximately

Answer 2

Sine Rule

`\sf (a)/(sinA)=(b)/(sinB)=(c)/(sinB)`

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Question 5

`\sf \implies (s)/(sin(78))=(10)/(sin(48))`

`\sf \implies s=(10sin(78))/(sin(48))`

`\sf \implies s=13.16227426`

s = 13.2 (nearest tenth)

Question 6

`\sf \implies (x)/(sin(53))=(6)/(sin(22))`

`\sf \implies x=(6sin(53))/(sin(22))`

`\sf \implies x=12.79158761`

x = 12.8 (nearest tenth)