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With a right triangle, if I only know the length of the hypotenuse, what would the formula be for finding the?
The known angles for the triangle are 90 degrees, 45 degrees and 45 degrees. The length of the hypotenuse is 4 inches, how long are the legs?
I am looking for the formula so I can do this with different lengths of hypotenuse if I need to
ok, when you are answering the question, please remember that I am a novice and without some form of reference, it all just looks like numbers and letters with funny symbols intermixed. Please include an explanation with your answer. :)
2 Answers
- JacintaLv 79 years agoFavourite answer
x² + x² = 4²
2x² = 16
x² = 8
x = √8 = 2√2 inches
(That's approximately 2.83 inches, to the nearest hundredth.)
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- 9 years ago
You could use sine(sin on your calculator) or cosine(cos). The lengths will be the same so if you did cos(45)=x/4 x being the side you want to find and 4 being the hypotenuse. So then you can simplify that to x=cos(45)•4
Source(s): My math teacher
