The angles 5

The angles of a triangle are in arithmetic progression (AP). The greatest angle is twice the least. Find all the angles.

Correct answer:

α =  40 °
β =  60 °
γ =  80 °

Step-by-step explanation:

α+β+γ=180   γ = 2α AP: βα  = γβ = diff AP: β = (α+γ)/2  α+β+2α=180 α+(α+γ)/2+2α=180  α+(α+2α)/2+2α=180  3α+(3α)/2=180 6α+3α=360 9α=360  α=360/9=40=40  γ=2 α=2 40=80 
β=2α+γ=240+80=60=60  Verifying Solution:  s=α+β+γ=40+60+80=180 

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: