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math/geometry

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complete the statements:
To find the length of the hypotenuse of a 45-45-90 triangle, multiply the length of one of the legs by:?
Could the answer be .5???

to find the length of the shorter leg of a 30-60-90 triangle, multiply the length of the longer leg by:?

To find the length of the hypotenuse of a 30-60-90 triangle, multiply the length of the hypotenuse by:?

I checked- I know that this question says hypotenuse twice, but...

Thanks.

  • math/geometry -

    The ratios of sides of a 45-45-90 triangle are 1:1:√2
    so you would multiply the length of one of the legs by √2 (which is not .5 !)

    the ratios of sides of a 30-60-90 triangles are 1:√3:2
    so, to find the length of the shorter leg of a 30-60-90 triangle, multiply the length of the longer leg by 1/√3

    You should be able to answer the third part by yourself.

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