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In triangle GHI, we have GH = HI = 25 and GI = 40.

 

(a) What is sin GIH?

 

(b) What is sin GHI?

 Nov 29, 2020
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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

 

 

 

 

 

cool cool cool

 Nov 29, 2020

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