Find the measure of the smallest angle in a right triangle with sides of 3, 4, and 5 centimeters

Question

 Help solve this question.

 

Answer 1

In right angle 1 angle is 90 

Choose any one of the acute angles as θ, the other angle will be 90−θ.

 cosθ=3/5 or 4/5.  and

  sinθ=4/5 or 3/5.

when

cosθ=3/ 5

θ = 53.13

 

and

 

 cosθ=45

 

θ =36.87

so the angles are 90∘, 36.87 and 53.13 

so smallest angle is 36.87