Question

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

Answer 1

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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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MARK BRAINLIEST