Math Is Fun Forum

Melllyy

Guest

Arithmetic Progressions

A triangle has its three angles in arithmetic progression. If the smallest is 10degrees find the other two angles

eclipse4227

Member

Registered: 2007-04-23

Posts: 10

Re: Arithmetic Progressions

10+x+y=180

the only way i know how to do this is guess and check, giving me:
x=60
y=110
this way they progress arithmetically and the common difference is 50

Last edited by eclipse4227 (2008-03-07 14:06:43)

Identity

Member

Registered: 2007-04-18

Posts: 934

Re: Arithmetic Progressions

If the first angle is 10, then the second angle is 10+d and the third is 10+2d where d is the common difference.

Then 10+10+d+10+2d=180

d = 50

So the angles are 10, 10+50=60, 10+2(50)=110

I guess the math tags have trouble with the new server

Last edited by Identity (2008-03-07 15:38:48)

eclipse4227

Member

Registered: 2007-04-23

Posts: 10

Re: Arithmetic Progressions

edit: nvm the equations are back

Last edited by eclipse4227 (2008-03-08 09:38:01)