How do you find the exact value of the third side given $triangle ABC$ , $b=12.4, c=8.70, mangleA23$ ?

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Answer 1 · 2018-02-24T12:39:58

Third side $color(purple)(a = 5.55$ $color(purple)(units$

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Given : $b = 12.4, c = 8.7, hatA = 23^@$

To find $color(red)(a$

Applying Law of cosines,

$a^2 = b^2 + c^2 - 2 bc sin A$

$a^2 = 12.4^2 + 8.7^2 - (2 * 12.4 * 8.7 * cos 23)$

$a^2 = 30.8419$

$a = sqrt 30.8419 = color(purple)(5.55$ $color(purple)(units$

How do you find the exact value of the third side given triangle ABCtriangle ABC, b=12.4, c=8.70, mangleA23b=12.4, c=8.70, mangleA23?