The angle of a triangle are in the ratio 3:4:5 . The measure of the smaller angle is _
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Step-by-step explanation:
let the ratio be 3x:4x:5x
180/12x=15
so x=15
smallest angle is 3x
then3x=3(15)
=45digrees
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the angle of triangle are in ratio 3:4:5
let it be ,
3x ,4x and 5x
the angle sum of triangle is 180 degree .
so ,
according to the question ,
3x+4x+5x=180
12x=180
x=180/12
x=15
so,x=15
now ,
1st angle 3x =3×15=45°
2nd angle 4x=4×15 =60°
3rd angle 5x=5×15=75°
so,the first angle is 45 degree so it is the smallest angle of the triangle .
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