For all math lovers??? very very easy?

Question

i have a circle with radius 6. I also have a triangle inside the circle (all lines of triangle are chords of the circle). One side of the triangle is 8, and another is 10. Whats the last one?

Pythagoras theorem doesn't help, and the circle theorems don't work since no lines touch the center. cosine and sine laws don't work cause of obvious reasons.

I don't expect you to solve it. Hints are just fine.

Answer 1

Draw lines from the center of the circle to the ends of the chords, you'll make three triangles.  The three lines you will draw are radii, so they have a length of 6.

This will give you three Isosceles triangles, with legs length 6 and bases length 8, 10, and x (The one you are finding).

Also, the three top angles equal 360 degrees.

From here, you should be able to solve for x.

Answer 2

12

OK fine, it's 12.125 then.

Nick B has the best answer and you don't need the cosine rule.

Answer 3

What Nick B said, and you may find the Law of Cosines helpful: http://en.wikipedia.org/wiki/Law_of_cosi...

Also, it's not 12.

Answer 4

i believe you must first find the area of the circle (area= pi x radius)

then divide that by half to get the area of the triangle

finally use the area of a triangle formula (area= 1/2 base x height)

keep the height or base blank depending on which one is not provided finally solve the problem to get your answer

alternative** if the side not provided was the hypotenuse, you need to get the circumference of the circle (c= pi x radius squared) then divide it by 2 to get the perimeter of the triangle then use the perimeter formula (perimeter= a+b+c)  leave the hypotenuse (c) blank to get the answer.

Answer 5

Draw 3 smaller isosolese triangles within the larger triangle. The 3 triangles will be isosolese because the legs drawn to make the smaller triangles are the radius of the circle.

One triangle would have legs 6 units, 6 units and 8 units.

Another would have 6 units, 6 units and 10 units.

The last one would have 6 units, 6 units and the unknown.

Now that you have 2 triangles each with 3 known sides, you can now use the Law of Cosines.

Answer 6

If its so easy why dont you do it yourself?

Answer 7

if u think its easy then you do it