In triangle GHI, we have GH = HI = 25 and GI = 40.
(a) What is sin GIH?
(b) What is sin GHI?
+128406 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
