# maths

a triangle has sides 8cm and 5cm and an angle of 90 degrees between them. Calculate the smallest angle of the triangle.

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1. 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.

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posted by Steve

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