Answer:
The length of RT is 5. The length of RS and ST is either 7 or 3.
Step-by-step explanation:
The Law of Cosine is defined as
[tex]a^2=b^2+c^2-2bc\cos(A)[/tex]
It is given that, the law of cosine for triangle RST can be set up as
[tex]5^2=7^2+3^2-2(7)(3)\cos(S)[/tex]
Therefore the length of opposite side of angle S is 5. The opposite side of angle S is RT, therefore the length of RT is 5.
The length of two other sides are either 7 or 3.
Therefore length of RT is 5. The length of RS and ST is either 7 or 3.
