Mathematics: Given that c=8 b=12 and c=37 degrees find the measure of b.

Given that c=8 b=12 and c=37 degrees find the measure

makaylahunt

14.01.2022

B = 64.52°

Step-by-step explanation:

Given measures of the triangle ABC are

b = 12, c = 8 and ∠c = 37°

we have to find the measure of ∠B

By applying sine rule in the triangle ABC,

$\frac{sinB}{b}=\frac{sin C}{c}$

$\frac{sinB}{12}=\frac{sin37°}{8}$

$\frac{sinB}{12}=\frac{0.601815}{8}$ = 0.07523

By cross multiplication

Sin B = 12 × 0.07523

= 0.9027

B = $sin^{-1}$ ( 0.9027 )

B = 64.52°

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alexismoore15567

22.09.2022

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Step-by-step explanation:

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