Asked by Favou r
A triangle has sides 8cm and 5cm and an angle of 90° between them. calculate the smallest Angle of the triangle.give the steps
Answers
Answered by
Ms Pi 3.14159265358979323
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).
Answered by
oobleck
the smallest angle θ is opposite the shortest side, and
tanθ = 5/8
So θ = tan<sup><sup>-1</sup></sup> 5/8
or, since the hypotenuse is √89, use the law of sines.
sinθ/5 = sin90°/√89
tanθ = 5/8
So θ = tan<sup><sup>-1</sup></sup> 5/8
or, since the hypotenuse is √89, use the law of sines.
sinθ/5 = sin90°/√89
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