A triangle has sides 8cm and 5cm and an angle of 90° between them. calculate the smallest Angle of the triangle.give the steps
2 answers
You may wish to use the Pythagorean Theorem to find the length of the hypotenuse, then use SIN or COS to find each of the angles (primary trig ratios SOHCAHTOA).
the smallest angle θ is opposite the shortest side, and
tanθ = 5/8
So θ = tan-1 5/8
or, since the hypotenuse is √89, use the law of sines.
sinθ/5 = sin90°/√89
tanθ = 5/8
So θ = tan-1 5/8
or, since the hypotenuse is √89, use the law of sines.
sinθ/5 = sin90°/√89
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