A triangle has sides A, B, and C. Sides A and B are of lengths $5$ and $3$ , respectively, and the angle between A and B is $(3pi)/4$ . What is the length of side C?

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A triangle has sides A, B, and C. Sides A and B are of lengths $5$ and $3$ , respectively, and the angle between A and B is $(3pi)/4$ . What is the length of side C?

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Answer 1 · 2016-08-12T12:13:28

$C=7.43$

Explanation:

As per law of cosines
$C^2=A^2+B^2-2Atimes Btimescos(theta)$ where $A=5;B=3 and theta=(3pi)/4$
or
$C^2=5^2+3^2-2times5times3timescos((3pi)/4)$
or
$C^2=25+9-30times(-0.707)$
or
$C^2=34+21.21$
or
$C^2=55.21$
or
$C=sqrt55.21$
or
$C=7.43$

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A triangle has sides A, B, and C. Sides A and B are of lengths $5$ and $3$ , respectively, and the angle between A and B is $(3pi)/4$ . What is the length of side C?

1 Answer

Explanation:

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A triangle has sides A, B, and C. Sides A and B are of lengths 55 and 33, respectively, and the angle between A and B is (3pi)/4 (3pi)/4 . What is the length of side C?

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A triangle has sides A, B, and C. Sides A and B are of lengths $5$ and $3$ , respectively, and the angle between A and B is $(3pi)/4$ . What is the length of side C?