In triangle ABC, a=15, b=14, c=10. Find m<B

Sinead Mcgee

Sinead Mcgee

Answered

2021-06-14

In triangle ABC, a=15, b=14, c=10. Find m<B

Answer & Explanation

yunitsiL

yunitsiL

Expert

2021-06-15Added 108 answers

The given case is SSS (three sides) so use the Law of Cosines: b2=a2+c22aosB
Solve for B.
2aosB=a2+c2b2
cosB=a2+c2b22ac
m<B=(cos1)(a2+c2b22ac)
m<B=(cos1)(152+1021422(15)(10))
m<B=cos1(129300)
Use a calculator in DEGREE mode: mB64.5°

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?