The angles ratio

The angles in the ABC triangle are in the ratio 1: 2: 3. find the sizes of the angles and determine what kind of a triangle it is.

Result

A =  30 °
B =  60 °
C =  90 °

Solution:

A:B:C=1:2:3  d=180/(1+2+3)=30 ∘  A=1⋅ d=1⋅ 30=30=30∘A:B:C=1:2:3 \ \\ \ \\ d=180 / (1+2+3)=30 \ ^\circ \ \\ \ \\ A=1 \cdot \ d=1 \cdot \ 30=30=30 ^\circ
B=2⋅ d=2⋅ 30=60=60∘B=2 \cdot \ d=2 \cdot \ 30=60=60 ^\circ
C=3⋅ d=3⋅ 30=90=90∘C=3 \cdot \ d=3 \cdot \ 30=90=90 ^\circ

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