The length of the base of an isosceles triangle is 12 inches. Each base angle measures 50°. Which is a feasible plan to find the length of each congruent side of the triangle? Justify each step.

Respuesta :

to solve the leg of an isosceles triangle given the length of the base and its angle, we can use the cosine identity.
where cos A = a / h
where a is the adjacent side of the angle ( but for this case it is half of the base)
h is the hypotenuse or the leg of the triangle
A is the base angle

h = a / cos A
h = ( 12 / 2) / cos 50
h = 9.33 in