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

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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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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