We have \triangles ABC with the following measures: A=65^\circ,\ B=75^\circ,\text{ area}=88m^2

nrgiizr0ib6

nrgiizr0ib6

Answered question

2022-04-20

We have sABC with the following measures:
A=65, B=75,  area=88m2

Answer & Explanation

impire7vw

impire7vw

Beginner2022-04-21Added 19 answers

We want to find AC=b
We have
88=12acsin75 (1)
By the law of sines, we have
asin65=bsin75=csin40
So
a=sin65sin75b,c=sin40sin75b (2)
From (1) (2),
88=12sin65sin75bsin40sin75bsin75
Hence,
(the longest side)=b=176sin75sin65sin40

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