## anonymous 4 years ago how do you find the lenghth of the hypotenuse in a 45 degree- 45 degree- 90 degree triangle??

1. amistre64

1^2 + 1^2 = c^2 1+1 = c^2 2 = c^2 sqrt(2) = c

2. amistre64

any rt triangle can be used with the pythag thrm

3. anonymous

|dw:1327861529976:dw| using this picture

4. amistre64

|dw:1327861572467:dw|

5. amistre64

since the length of a side is scaled by 9, the hyp is scaled by 9 as well

6. amistre64

1 = sqrt(2) 9*1 = 9*sqrt(2)

7. anonymous

find the length of the hypotenuse of a $45 degree- 45 degree- 90 degree$ triangle with leg lengths of $5\sqrt{3}$

8. amistre64

(5.3)^2 + (5.3)^2 = hyp^2 or; since the legs are scaled by 5.3; scale the hyp of a unit cube by 5.3

9. amistre64

i get 5.3 * .2 = 5.6 . being a lazy sqrt