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.
+36916 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
+36916 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
