Question

the acute angle of a right triangle arw in ratio 3:2,find these angles​

Answer 1

We know that,

The sum of the interior angled if the triangle=180°

so,

3x+2x+90=180

5x=90

x=18°

so,

angles must be,

3x=3×18=54°

2x=2×18=36°

Answer 2

Answer:

sum of all angles of a triangle is 180°

given that triangle is right angled.

therefore one angle is of 90°.

remaining two are in the ratio 3:2.

let remaining two angles are 3x and 2x.

therefore 90°+ 2x+ 3x=180°

therefore 5x=180°-90°

therefore 5x=90°

therefore x=90°/5

therefore x=18°

therefore first angle is 3x = 3×18°=54°

and second angle is 2x =2×18°=36°

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