## lindoc Group Title In a 45°- 45°- 90° right triangle, the hypotenuse is 4 cm. How long are the legs? one year ago one year ago

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

4. lindoc Group Title

so what would be the answer

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

6. lindoc Group Title

so put in 4sqrt

7. eSpeX Group Title

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 Group Title

i still dont get it