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 $pi/6$ , and the length of B is 7, what is the area of the triangle?

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Answer 1 · 2017-06-21T13:25:25

The area of the triangle is $=3.03u^2$

The triangle is an isoceles triangle.

The angle betwwen side $A$ and side $C$ is

$=pi-(1/6pi+1/6pi)$

$=2/3pi$

The height of the triangle is

$h=3/2tan(1/6pi)$

The area of the triangle is

$A=1/2*b*h$

$=1/2*7*3/2tan(1/6pi)$

$=21/4tan(1/6pi)$

$=3.03$

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/6pi/6, and the length of B is 7, what is the area of the triangle?