## anonymous 3 years ago In a 45°- 45°- 90° right triangle, the hypotenuse is 4 cm. How long are the legs?

1. anonymous

a 45-45-90 triangle has a hypotenuse of s sqrt 2 and the legs are s

2. anonymous

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3. anonymous

So I think that 4/sqrt 2 will give you s

4. anonymous

so what would be the answer

5. anonymous

Get a calculator and put in 4/sqrt 2. That will be the answer

6. anonymous

so put in 4sqrt

7. eSpeX

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.

8. anonymous

i still dont get it