The number of degrees in an angle of a triangle is to the number of grads in the second is to the number of radians in the third as 288:280:pi. Find all the angles in degrees.
We have the following definitions,
360 degrees = 2.pi radians
400 grads = 2.pi radians
400 grads = 360 degrees
So pi rad = 180 degrees
And 280 grads = (280/400)*360 = 252 degrees
So, the three angles are: 288, 252, 180 degrees
OK, I undersdtand your point. I originally thought there must be 3 separate triangles.
I have the three angles as 288, 252 and 180, which are in the ratios given.
As you said, the sum of the angles in a triangle add up to 180.
These three angles I got add up to 288 + 252 + 180 = 540 + 180 = 720
And 720 is 4 times 180. So just divide all the three angles by 4, to give
72, 63, 45, which are all in the proper ratio and add up to 180 degreres.
Sorry about the mixup.