A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{12}$ $pi/12$ . If side C has a length of $22$ $22$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?

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A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{12}$ $pi/12$ . If side C has a length of $22$ $22$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?

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Answer 1 · 2018-04-02T06:59:57

$c a = c = 22 units$ $color(blue)(ca = c = 22 " units"$

Explanation:

$c = 22, ˆ C = \frac{π}{12}, ˆ A = \frac{π}{12}, ˆ b = π = \frac{π}{12} - \frac{π}{12} = \frac{5 π}{6}$ $c = 22, hat C = pi/12, hat A = pi/12, hat b = pi = pi/12 - pi/12 = (5pi)/6$

As per the theorem, If in a triangle two angles equal one another, then the sides opposite the equal angles also equal one another.

Hence, given triangle is an isosceles triangle with sides a & c equal as their angles equal $(\frac{π}{12})$ $(pi/12)$

$:. a = c = 22 " units"$

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A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{12}$ $pi/12$ . If side C has a length of $22$ $22$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?

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A triangle has sides A, B, and C. The angle between sides A and B is pi/12π12pi/12. If side C has a length of 22 2222 and the angle between sides B and C is pi/12π12pi/12, what is the length of side A?

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A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{12}$ $pi/12$ . If side C has a length of $22$ $22$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?