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## lindoc In a 45°- 45°- 90° right triangle, the hypotenuse is 4 cm. How long are the legs? 10 months ago 10 months ago

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1. crazycatlady

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

2. crazycatlady

|dw:1368567823761:dw|

3. crazycatlady

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

4. lindoc

so what would be the answer

5. crazycatlady

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

6. lindoc

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. lindoc

i still dont get it