Right triangle

A right triangle ABC is given, c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees.

Correct result:

a =  2.8679
b =  4.0958
B =  55 °

Solution:

c=5 A=35∘ sin⁡A=a/c  a=c⋅ sin⁡A∘=c⋅ sin⁡35∘ =5⋅ sin⁡35∘ =5⋅ 0.573576=2.868=2.8679
cos⁡A=b/c b=c⋅ cos⁡A∘=c⋅ cos⁡35∘ =5⋅ cos⁡35∘ =5⋅ 0.819152=4.09576=4.0958   Verifying Solution:  b1=c2−a2=52−2.86792≐4.0958
B=90−A=90−35=55∘

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

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