A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/6$ . If side C has a length of $15$ and the angle between sides B and C is $( 5 pi)/12$ , what are the lengths of sides A and B?

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A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/6$ . If side C has a length of $15$ and the angle between sides B and C is $( 5 pi)/12$ , what are the lengths of sides A and B?

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Answer 1 · 2016-02-24T08:31:26

A = 15 ( $sqrt$ 3 + 1 ) / $sqrt$ 2 and B = A..

Explanation:

Sum of the angles is $pi$ . So, the third angle is 5 $pi$ /12.
The triangle is isosceles, with A = B.
The sides are proportional to the sines of opposite angles.This gives A and B.
sin (5 $pi$ /12) = sin ( $pi$ 4 + $pi$ /6 ). Expand.

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A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/6$ . If side C has a length of $15$ and the angle between sides B and C is $( 5 pi)/12$ , what are the lengths of sides A and B?

1 Answer

Explanation:

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Science

Math

Humanities

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A triangle has sides A, B, and C. The angle between sides A and B is (pi)/6(pi)/6. If side C has a length of 15 15 and the angle between sides B and C is ( 5 pi)/12( 5 pi)/12, what are the lengths of sides A and B?

1 Answer

Explanation:

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A triangle has sides A, B, and C. The angle between sides A and B is $(pi)/6$ . If side C has a length of $15$ and the angle between sides B and C is $( 5 pi)/12$ , what are the lengths of sides A and B?