# geometry

posted by .

1. The radius of the circumscribed circle of the triangle ABC is 15 cm. Given that B is a 49-degree angle, find the length of side AC.

continuation - The radius of the circumscribed circle of the triangle ABC is r cm.
Given that B is a beta-degree angle, find the length of side AC, in terms of r and beta.

• geometry -

I don't know at what level of geometry you are starting, but a property of the circumscribed circle of a triangle is that
the diameter of the circumcircle is equal to the length of any side of the triangle divided by the sine of the opposite angle

so in your case the diameter is 15, and the required side AC is opposite angle B, so ...
15 = AC/sin49
AC = 15sin49
= appr. 11.32

Now do the same thing in the general case

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Trignometry pls help

1. The radius of the circumscribed circle of the triangle ABC is 15 cm. Given that B is a 49-degree angle, find the length of side AC. 2. The radius of the circumscribed circle of the triangle ABC is r cm. Given that B is a รข-degree …
2. ### geomery

1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC?
3. ### geometry

1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm long. What is the diameter of the circle circumscribed about ABC?
4. ### Geometry

A circle has a radius of 6 inches. The circumscribed equilateral triangle will have an area of:?
5. ### Math

The radius of the circumscribed circle of the triangle abc is 15cm. given that B is a 49-degree angle; find the length of the side AC
6. ### circle geometry triangles

how do u construct a circle that is circumscribed of a triangle?
7. ### Math

Triangle ABC is circumscribed about circle O and D,E, and F are points of tangency. If AD= 5, EB= 5 and CF= 10, find the lengths of the sides of the triangle and show that the triangle is isosceles
8. ### geometry

I asked my teacher for a hint and he said that the pitcher's mound is not the radius. Am I supposed to assume that a side of a baseball diamond is 90?
9. ### geometry

Open that link please please help me with my assignments 1. in the figure , the areas of traingle cef, triangle abe, triangle adf are 3,4, and 5 respectively. find the area of triangle aef 2. equialateral triangle abc has an area of …
10. ### MATH HELP!!

Consider the three points A(2,3,1) B(1,-2,3) C(7,4,6) a) Show that ABC is a right triangle. b) Calculate the area of this triangle. c) Find the coordinates of the center of the circle circumscribed about triangle ABC

More Similar Questions