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Maths-

General

Easy

Question

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

hint Hint:

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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