The aspect ratio

The aspect ratio of the rectangular triangle is 13: 12: 5. Calculate the internal angles of the triangle.

Correct result:

A =  90 °
B =  67.3801 °
C =  22.6199 °

Solution:

a:b:c=13:12:5 a=13x b=12x c=5x  a2=b2+c2 (13x)2=(12x)2+(5x)2 132=122+52 169=144+25 169  A=90=90∘
sin⁡B=ba=12x13x  B=180∘π⋅arcsin⁡(12/13)=67.3801∘=67∘22′49"
C=90−B=90−67.3801=22.6199∘=22∘37′11"

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Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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