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lindoc
In a 45°- 45°- 90° right triangle, the hypotenuse is 4 cm. How long are the legs?
a 45-45-90 triangle has a hypotenuse of s sqrt 2 and the legs are s
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So I think that 4/sqrt 2 will give you s
so what would be the answer
Get a calculator and put in 4/sqrt 2. That will be the answer
Another way to get to the same answer is to cross multiply with ratios. Your 45/45/90 triangle has a side ratio of 1/1/sqrt(2). Since you know the hypotenuse you can set it up as what you know over the scaling factor. \[\frac{Unknown~Leg}{1}=\frac{Known~Hyp~Value}{\sqrt{2}}\]Solve for the unknown.