Math, asked by nishagoud226, 1 year ago

in right triangle ABC angleB =90° AB=3cm and AC=6cm find and c and angle a

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Answered by ria113
113
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Answered by mysticd
29

Answer:

\red { \angle A}\green {= 60\degree }

\red { \angle C}\blue {= 30\degree }

Step-by-step explanation:

 Given \: In \: Right \: triangle \: ABC , \angle = 90\degree

AB = 3\:cm , \: AC = 6\:cm

 i) sin \angle C = \frac{AB}{AC}\\= \frac{3}{6}=\frac{1}{2}

\implies sin\angle C = sin \:30\degree

\implies \angle C = 30\degree

ii) cos\angle A = \frac{AB}{AC}\\= \frac{3}{6}\\= \frac{1}{2}

\implies cos \angle A = cos \:60\degree

\implies \angle A = 60\degree

Therefore.,

\red { \angle A}\green {= 60\degree }

\red { \angle C}\blue {= 30\degree }

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