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What is area of triangle ABC if A=30 degrees,AC=2,AB=4?

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minlux | (Level 2) Honors

Posted September 27, 2013 at 4:59 PM via web

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What is area of triangle ABC if A=30 degrees,AC=2,AB=4?

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sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted September 27, 2013 at 5:23 PM (Answer #1)

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You need to evaluate the area of triangle and you should notice that the problem provides the lengths of two sides and the measure of included angle, hence, you may use the following formula, called side angle side (SAS), such that:

`A = (AB*AC*sin(BAC))/2`

Replacing the given values in the formula above, yields:

`A = (4*2*sin 30^o)/2`

Replacing `1/2` for `sin 30^o` yields:

`A = 4*(1/2) => A = 2`

Hence, evaluating the area of the triangle, using the side angle side formula, yields `A = 2` .

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