Answer to Question #251672 in Trigonometry for abstract

Question

The sides of a triangle are in a ratio of 4:5:6. Solve for the smallest angle

Answer 1

Let the angles be ;4x,5x,6x

Sum of interior angles in a triangle, adds up to 180 °.

Thus:$4x+5x+6x=180$

$15x=180$

$x=12$

Hence the smallest angle =12×4 =48°