Posted by **Lauren** on Saturday, December 5, 2009 at 10:07pm.

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 -
**Reiny**, Saturday, December 5, 2009 at 10:58pm
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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