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in triangle PQR, p equals what.

1) (r sin P)/ sin Q
2) (r sin P)/ sin R
3) (r sin R)/ sin P
4) (q sin R)/ sin Q

Respuesta :

kmatras1
The correct answer is 3.

The formula for the law of sines is the following:

P/sin P = Q/sin Q = R/sin R

So, if you break these up into two different equations, you will have: 

P/sin P = Q/sin Q and P/sin P = R/sin R

To solve, get P alone on one side of the equation by multiplying the other side by sin P:

P = Q sin P/sin Q and P = R sin P/sin R

When you look at the answers, you'll see that the second equation is an option.

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