Question

The legs of a right triangle are 5 inches by 12 inches, respectively. What is the sine of the smallest angle?

5/13

5/12

12/13

13/12

13/5

Answer 1

well lets draw this triangle...

use the pythagorean theorem to find x for this triangle so...

Answer 2

\[x ^{2}=5^{2}+12^{2}\]\[x ^{2}=169\]\[x =\sqrt{169}\]\[x=13\]

Answer 3

and to determine the smallest angle you would find the smallest side and that opposite angle of that side would be your smallest angle

Answer 4

and for this case the smallest angle would be here...