Mathematics

If the angles of a triangle are in the ratio 2:3:4, find the three angles.

$40^o, 60^o, 80^o$

SOLUTION
The angles of a triangle are in the ratio 2:3:4
Let $x:y:z=2:3:4$
Then $x= 2t; y= 3t; z= 4t$

Sum of all angles of a triangles is $180^0$.
$2t + 3t + 4t = 180^0$
$9t = 180^0$
$t = 20^0$
$x= 2\times 20^0= 40^0; y= 3\times 20^0= 60^0; z = 4\times 20^0= 80^0$

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Single Correct Medium Published on 09th 09, 2020
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