SOLUTION: can you give me the formula to work out the hypotenuse when I only know 1 length & the three angles of the triangle
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Question 3611: can you give me the formula to work out the hypotenuse when I only know 1 length & the three angles of the triangle
Found 2 solutions by akr, cleomenius:
Answer by akr(2) (Show Source): You can put this solution on YOUR website!
Given, angles A, B, C.
Given, one side, say a.
Let angle B > (A, C)
Then angle B = 90 degrees.
Then, hypotenuse b = a sinB / sinA
Answer by cleomenius(959) (Show Source): You can put this solution on YOUR website!
Since it has a hypotenuse, we are working with a right triangle and we can use the trigonometry sin formula:
Sin x = opposite / hypotenuse
Divide the value of the length of the side you are using by the sin of the angle opposite it, this will give you the hypotenuse length.
Cleomenius.
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