+0  
 
0
128
3
avatar+102 

https://prnt.sc/iqst3m

 

https://prnt.sc/iqst76

 

https://prnt.sc/iqst8m

 

(Copy paste links)

Severoth  Mar 13, 2018
 #1
avatar+88871 
+2

First one

 

The smallest angle is opposite the shortest side   and the largest angle is opposite the longest side

 

Using the Law of Sines......we have that

 

Sin 36           Sine of angle opposite longest side          

_____    =    ________________________

  53                         90

 

Multiply both sides by 90

 

90 Sine 36/53   = Sin of angle opposite the longest side......using the sine inverse, we have

 

arcsin [ (90/53)sin 36 ] =   sine of angle opposite the longest side ≈  86.5°

 

 

cool cool cool

CPhill  Mar 13, 2018
 #2
avatar+88871 
+2

Second one....

 

Here's a YouTube video that explains this better than I can.....

 

https://www.youtube.com/watch?v=YEX2mhvbYuo

 

 

cool cool cool

CPhill  Mar 13, 2018
 #3
avatar+88871 
+2

Last one :

 

Area of sector   GHJ  =

 

(1/2)  radius^2 *  measure of angle GHJ in radians.....so we have...

 

(1/2)  (5^2)   * pi /4  =

 

25 / 8  pi  cm^2   ≈   9.8 cm^2    

 

 

 

cool cool cool

CPhill  Mar 13, 2018

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