Posted by **Chris** on Sunday, February 17, 2013 at 9:36pm.

Three circles with radii of 4, 5, and 6 cm, respectively, are tangent to each other externally. Find the angles of the triangle whose vertexes are the centers of the circles.

- Trig -
**bobpursley**, Sunday, February 17, 2013 at 9:40pm
sides of triangle are (2+2.5),(2+3),(2.5+3)

Start with law of cosines

c^2=a^2+b^2-2abCosC

label the sides a,b, c solve for angle C

Then, use the law of sines

a/SinA=c/SinC solve for angle A

then use the fact that the sum of the angles is 180 deg, find angle B.

check angle B with the law of sines.

- Trig -
**Anonymous**, Wednesday, November 23, 2016 at 7:32pm
474

## Answer This Question

## Related Questions

- Haley - Three circles with radii 35cm, 50cm, and 65cm respectively are tangent ...
- Math. I really don't get this question - three circles are manually tangent ...
- trig - Two circles of radii 5 and 3 cm, respectively, intersect at two points. ...
- trigonimetry - three circles of radii 27,38, and 42 centimeter respectively are ...
- Geometry/Trigonometry - Circles with centers (2,1) and (8,9) have radii 1 and 9...
- PLEASE HELP TANGENTS AND CIRCLES PROBLEM GEOMETRY - PLEASE HELP I REALLY NEED ...
- Mathematics - Three circles touch each other externally. Their centres make a ...
- GEOMETRY - Two circles with radii a and b touch each other externally . Let c be...
- Maths - Three circles of unit radii touch each other externally. They are ...
- geometry - Two circles which are not congruent touch externally. the sum of ...

More Related Questions