Question

The angles of a triangle are in the ratio 3:4:5.find the smallest angle

Answer 1

let all the side be 3x 4x 5x
we know that sum of angle of triangle is 180 degree.
therefore smaĺest angle,
3x+4x+5x=180
12x=180
x=180/12
[x=15]

Now,3x=3×15=45°
4x=4×15=60°
5x=5×15=75°

Hence smallest angle is 45°.

hope it will help u....!!!!

Answer 2

sum of angles of a triangle=180°
angles are
3x°
4x°
5x°

let the common factor be x
therefore

3x+4x+5x=180
12x=180
$x = \frac{180}{12}$
x=15

therefore,
3x=3×15=45°
4x=4×15=60°
5x=5×15=75°

it can be seen that the smallest angle is 45°.