A triangle has sides A, B, and C. Sides A and B are of lengths $6$ and $5$ , respectively, and the angle between A and B is $(pi)/2$ . What is the length of side C?

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Answer 1 · 2016-01-23T06:10:07

side $c=sqrt 61=7.81025$ units

Given data side $a=6$ and side $b=5$ , angle $C=pi/2$
By the Law of Cosines

$c=sqrt(a^2+b^2-2*a*b*cos C)$
$c=sqrt(6^2+5^2-2*6*5*cos (pi/2))$
$c=sqrt(36+25-0)$
$c=sqrt(61)$
$c=7.81025$

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A triangle has sides A, B, and C. Sides A and B are of lengths 66 and 55, respectively, and the angle between A and B is (pi)/2 (pi)/2 . What is the length of side C?