Question

Help! Will give branliest!!

Answer 1

Hello from MrBillDoesMath!

Answer:

sin(A) =   k/c

sin(C) =   k/a

Discussion:

By definition of sine ,

sin(A) = side opposite angle / hypotenuse  =  k/c

sin(C) = side opposite angle/ hypotenuse =  k/a

Added remark:

From the first equation, k = c sin(A). From the second equation k = asin(C). Hence.

asin(C) = csin(A)                => divide both sides by "ac"

sin(C)/ c = sin(A)/a          

Which is the law of sines for a triangle.

Thank you,

MrB