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The angles of a triangle are in the ratio 3:4:5.  Find the numerical value of the ratio of the sine of the smallest angle to the sine of the next smallest angle.

 Dec 24, 2019

Best Answer 

 #1
avatar+23553 
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3+4+5 =12    180/12=15  so the angles are

3(15)    4(15)   5(15)

45         60        75

 

SMALLEST ANGLE   45    SIN = SQRT2 / 2        NEXT LARGER ANGLE  SIN60 = SQRT3/2

 

RATIO =  SQRT2 /2   :  SQRT 3/2

           = SQRT 2  : SQRT 3  

 Dec 24, 2019
 #1
avatar+23553 
+1
Best Answer

3+4+5 =12    180/12=15  so the angles are

3(15)    4(15)   5(15)

45         60        75

 

SMALLEST ANGLE   45    SIN = SQRT2 / 2        NEXT LARGER ANGLE  SIN60 = SQRT3/2

 

RATIO =  SQRT2 /2   :  SQRT 3/2

           = SQRT 2  : SQRT 3  

ElectricPavlov Dec 24, 2019

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