In triangle GHI, we have GH = HI = 25 and GI = 40.
(a) What is sin GIH?
(b) What is sin GHI?
a) This triangle is isosceles ....let GI be the base and GH and HI be the equal sides
Draw altitude HJ......
This will form a Pythagorean Triple triangle HIJ where HJ = 15, JI = 20 and HI = 25
sin GIH = HJ / HI = 15/ 25 = 3/5
b) sin GHI = sin (2 * JHI) = 2 *sin JHI * cos JHI = 2 * 20/25 * 15/25 = 600/625 = 24/25