Calculate side DC in this triangle

[VitaminK]

Homework Statement

AD=48cm
BD=17cm
Calculate DC

Relevant Equations

Sine formula and cosine formula

Was just wondering if someone could take a look at my calculations and see if I've done them correctly.

 

[SammyS]

Homework Statement:: AD=48cm
BD=17cm
Calculate DC
Relevant Equations:: Sine formula and cosine formula

View attachment 260979
Was just wondering if someone could take a look at my calculations and see if I've done them correctly.
View attachment 260981

That looks fine.

Of course, you could have found length DC using BC, BD, and angle C (the 42° angle). Maybe, use this as a check.

 

[VitaminK]

That looks fine.

Of course, you could have found length DC using BC, BD, and angle C (the 42° angle). Maybe, use this as a check.

thanks!