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General
Easy

Question

text  If the angles of a triangle are in the ratio  end text 5 colon 6 colon 7 text , find all the angles.  end text

hintHint:

Hint :-Using the ratio, find the individual angels in terms of k .Now using sum of angles of triangle is 180° find the value of k and actual value of angles
Ans :- 50°,60° and 70°

The correct answer is: Therefore 50°,60° and 70° are the angles of the triangle which satisfy the condition.


    Explanation :-
    Given angles are in the ratio 5:6:7
    Step 1:- Find angles in terms of k  and find k
    The angles are 5k ,6k and 7 k respectively
    We know Sum of angles of triangle is 180°
    5k +6k+7k = 180
    18 k = 180
    K = 10°
    Step 2:- Find the actual angles of triangle
    5k = 5×10 = 50°
    6k = 6×10 = 60°
    7k = 7×10 = 70°
    Therefore 50°,60° and 70° are the angles of the triangle which satisfy the condition .

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