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How do you find the angles of a triangle with only the sides and a 90 degree angle?

I have three triangles, the sides (from hypotenus to other sides) are
5,3,4
8.25,8,2
and 25.46,18,18
Please help me with this guys.

User Joelmc
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1 Answer

2 votes
With a right angle you can use cos sin and tan. The other two angles have to add up to 90 (for a total of 180) so just figure out one angle and you now the third. For a 3/4/5 example (with 4 as vertical) the bottom angle is arctan(4/3) = 53.1 degrees
That makes the top angle 36.9 degrees which is also calculated by arc sin (3/5)
User SebastianH
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