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Question

The three angles are in ratio 2:3:5 find the measure of each angle .classify the triangle


Solution

Let common factor of ratio of angles is X.
Ratios are 2:3:5 given.
So, 2*X+3*X+5*x=180° — sum of three angles of a triangle.
Now,
10*X=180°
So, X=18°.
Hence angles are 36° , 54° and 90°.

It is a right triangle

With two acute angles

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