A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{3}$ $pi/3$ . If side C has a length of $25$ $25$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?

Question

A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{3}$ $pi/3$ . If side C has a length of $25$ $25$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?

1 Answer

Impact of this question

1438 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-02-16T01:40:19

side $a = 7.47146$ $a=7.47146$

Explanation:

Use Sine Law

$\frac{a}{sin A} = \frac{c}{sin C}$ $a/sin A=c/sin C$

$a = c \cdot \frac{sin A}{sin C} = \frac{25 \cdot sin (\frac{π}{12})}{sin (\frac{π}{3})} = 7.47146$ $a=c*sin A/sin C=(25*sin (pi/12))/sin (pi/3)=7.47146$

God bless America..

Science

Math

Humanities

... and beyond

A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{3}$ $pi/3$ . If side C has a length of $25$ $25$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A triangle has sides A, B, and C. The angle between sides A and B is pi/3π3pi/3. If side C has a length of 25 2525 and the angle between sides B and C is pi/12π12pi/12, what is the length of side A?

1 Answer

Explanation:

Related questions

Impact of this question

A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{3}$ $pi/3$ . If side C has a length of $25$ $25$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ , what is the length of side A?