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18 November, 09:01

In ΔABC, if m = m, m = ß (where ß is an acute angle), and BC = x, which expression gives the length of b, the side opposite?

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  1. 18 November, 09:08
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    since we are told ∠A = ∠C we know that ABC is an issueless triangle where AB = BC = x so we get the above diagram. so now, to find side b, we can use the cosine rule which states

    c2=a2+b2-2abcosC

    so we can apply this to our question, to get,

    b2=x2+x2-2 (x) (x) cosß

    which simplifies down to

    b=√ 2x2-2x2cosß

    and you can factor the

    2 x 2

    to the from to get

    b=√ 2 x2 (1-cos ß)
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