If one side of the triangle is 12 and the opposite angle is 30 degrees, then the diameter of the circumscribed circle is:

 The required length of the diameter of the circumscribed circle is 24 units.

Step-by-step explanation:  Given that one side of a triangle has length 12 units and its opposite angle measures 30 degrees.

We are to find the diameter of the circumscribed circle.

We know that

if a, b, c are the lengths of the three sides of a triangle and A, B, C are the corresponding measures of the opposite angles respectively, then the ratio

is said to the length of the diameter of the circumscribed circle of the triangle.

According to the given information, we have

a = 12  and  A = 30°.

Therefore, the length of the diameter of the circumscribed circle is

Thus, the required length of the diameter of the circumscribed circle is 24 units.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation: