A triangle has sides A, B, and C. The angle between sides A and B is $(5pi)/6$ . If side C has a length of $7$ and the angle between sides B and C is $pi/12$ , what are the lengths of sides A and B?

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Answer 1 · 2018-02-25T12:44:27

Length of sides $color(brown)(a = b = 3.6234$

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$hat A = pi/13, hat C = (5pi)/6, c = 7$

$a = (c sin A) / a = (7 * sin (pi/12)) / sin ((5pi)/6) = 3.6234$

$hat B = pi - pi/12 - (5pi)/6 = pi /12$

It’s an isosceles triangle with sides a & b equal as corresponding angles are equal.

A triangle has sides A, B, and C. The angle between sides A and B is (5pi)/6(5pi)/6. If side C has a length of 7 7 and the angle between sides B and C is pi/12pi/12, what are the lengths of sides A and B?