Question

the angle of a triangle are in the ratio 2 ratio 3 ratio 4 find the 3 angle in radian

Answer 1

hello users ....

Solution:-
let ,
first angle of triangle = 2x 
second angle = 3x 
And
third angle = 4x 

we know that :
sum of all Angles of triangle = 180°

here
=> 2x + 3x + 4x = 180°

=> 9x = 180°

=> x  = 20° 

here,
=> first angle = 2x = 2 * 20 = 40°
second angle = 3x = 3 * 20 = 60° 
third angle = 4x = 4 * 20 = 80°

Now,
we know that
1° = π/180° radians

Hence;
Angles of triangle in radians Are : 
 first angle = 40°
= 40 * π/180°
= 2π/9 Radians

second angle = 60°
= 60 * π/180°
= π/3 Radians

And
third angle = 80°
= 80 * π/180°
= 4π/9 Radians Answer 

# hope it helps :)

Answer 2

Heya user,

The ratio of angles of a triangle is ----> 2 : 3 : 4

Consider the common ratio -- 'x'
.'. The angles are 2x, 3x and 4x

Note:- We have to find the third angle in radian..

So, 2x + 3x + 4x = π rad
==> 9x = π rad
==> x = [ π / 9 ] rad
==> 4x = third angle = [ 4π / 9 ] rad

And hence, the third angle in radians is [ 4π / 9 ] rad