A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/2$ and the angle between sides B and C is $pi/12$ . If side B has a length of 15, what is the area of the triangle?

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A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/2$ and the angle between sides B and C is $pi/12$ . If side B has a length of 15, what is the area of the triangle?

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Answer 1 · 2016-08-07T09:14:32

$=30$

Explanation:

This is a right angled triangle where $B=15$
Therefore
Angle between $A$ and $C$ is $pi-(pi/2+pi/12)=5pi/12$
$A/sin(pi/12)=B/sin(5pi/12)$
or
$A/sin(pi/12)=15/sin(5pi/12)$
or
$A=15/sin(5pi/12)(sin pi/12)$
or
$A=15(0.268)$
or
$A=4$
Therefore
Area of the triangle $=1/2(15)(4)$
$=60/2$
$=30$

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A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/2$ and the angle between sides B and C is $pi/12$ . If side B has a length of 15, what is the area of the triangle?

1 Answer

Explanation:

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A triangle has sides A, B, and C. The angle between sides A and B is (pi)/2(pi)/2 and the angle between sides B and C is pi/12pi/12. If side B has a length of 15, what is the area of the triangle?

1 Answer

Explanation:

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A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/2$ and the angle between sides B and C is $pi/12$ . If side B has a length of 15, what is the area of the triangle?