A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{12}$ $pi/12$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ . If side B has a length of 5, what is the area of the triangle?

Question

A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{12}$ $pi/12$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ . If side B has a length of 5, what is the area of the triangle?

1 Answer

Impact of this question

1453 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-19T08:42:06

$= 1.675 u n i t^{2}$ $=1.675 unit^2$

Explanation:

The other angle is $π - \frac{π}{12} - \frac{π}{12} = \frac{10}{12} π = \frac{5}{6} π$ $pi-pi/12-pi/12=10/12pi = 5/6pi$

Since it is an isosceles triangle with 2 equal size of sides,
The height of triangle, $h = \frac{5}{2} tan (\frac{π}{12})$ $h =5/2tan(pi/12)$
$h = \frac{5}{2} tan (\frac{π}{12})$ $h =5/2tan(pi/12)$

The area or triangle $= \frac{1}{2} \cdot 5 \cdot h$ $=1/2*5*h$
$= \frac{1}{2} \cdot 5 \cdot \frac{5}{2} tan (\frac{π}{12})$ $=1/2*5*5/2tan(pi/12)$

$= \frac{25}{4} \cdot 0.268$ $=25/4*0.268$

$= 1.675 u n i t^{2}$ $=1.675 unit^2$

Science

Math

Humanities

... and beyond

A triangle has sides A, B, and C. The angle between sides A and B is $\frac{π}{12}$ $pi/12$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ . If side B has a length of 5, what is the area of the triangle?

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 π12pi/12 and the angle between sides B and C is π12pi/12. If side B has a length of 5, what is the area of the triangle?

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 $\frac{π}{12}$ $pi/12$ and the angle between sides B and C is $\frac{π}{12}$ $pi/12$ . If side B has a length of 5, what is the area of the triangle?