A triangle has sides A, B, and C. If the angle between sides A and B is $(pi)/6$ , the angle between sides B and C is $(pi)/2$ , and the length of B is 12, what is the area of the triangle?

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Answer 1 · 2017-01-21T13:56:47

The area of the triangle is 41.5692

$Pi/2$ indicates a right angled triangle

Calculating the length of C will allow us to use
$1/2*Base * Height$ to calculate the area

The length of C can be calculated by using
$Tan (Pi/6) = 0.5774 = C/12$

Rearranging
$C = 12 * 0.57735 = 6.9282$

Using $1/2*Base * Height$
$1/2*12*6.9288 = 41.56928$

A triangle has sides A, B, and C. If the angle between sides A and B is (pi)/6(pi)/6, the angle between sides B and C is (pi)/2(pi)/2, and the length of B is 12, what is the area of the triangle?