An isosceles triangle has an area of 21 cm^2, and the angle between the two equal sides is 5π/6. Find the length of the two equal sides.

Question

directrix · Answer

@CookieMonster101 

Are you doing this problem in Geometry or Trigonometry?

In Trig, the area of any triangle is 1/2  * the product of any two sides and the sine of the included angle.

 1/2 * x * x * sin (5 pi/6) = 21

where x is the length of the two congruent sides.

If that formula does not resonate with you, let that be known and we will go for a Geometric solution.  @