Asked by shegster
a triangle has sides 8cm and 5cm and an angle of 90 degrees between them. Calculate the smallest angle of the triangle.
Answers
Answered by
Steve
two ways to do this:
the hypotenuse is √89, so the other two angles are
arcsin(8/√89) and arcsin(5/√89)
Or, using the law of sines, if the right angle is C, we have
1/√89 = sinA/5 = sinB/8
The calculation gives the same results for angles A and B.
the hypotenuse is √89, so the other two angles are
arcsin(8/√89) and arcsin(5/√89)
Or, using the law of sines, if the right angle is C, we have
1/√89 = sinA/5 = sinB/8
The calculation gives the same results for angles A and B.
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