# Thread: Legs of triangles and hypotenuse.

1. ## Legs of triangles and hypotenuse.

Without using trigonometry, express the length of the legs of a 30 degree, 60 degree, 90 degree in terms of the length of the hypotenuse c. Thank you, any information is much appreciated.

2. One of the lengths(which one?) is c/2 (why?), now can you find the third length, remember it is right triangle...

3. Hello, RoyJones!

Without using trigonometry, express the length of the legs of a 30-60-90 triangle
in terms of the length of the hypotenuse $\displaystyle \,c.$

Draw an equilateral triangle with side $\displaystyle \,c$ and one altitude.

Code:
            *
/|\
/ | \
c /  |  \
/   |   \
/    |    \
* - - + - - *
c/2

Can you find the third side?

4. Originally Posted by RoyJones
Without using trigonometry, express the length of the legs of a 30 degree, 60 degree, 90 degree in terms of the length of the hypotenuse c. Thank you, any information is much appreciated.
Remember we're talking about a right triangle so what happens with the Pythagorean theorem?