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

Sinead Mcgee

Sinead Mcgee

Answered question

2021-06-14

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

Answer & Explanation

yunitsiL

yunitsiL

Skilled2021-06-15Added 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°

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