The triangle ABC is given. The ratio of the interior Angel is alpha: beta: gamma = 3:2:13 and the difference of two sides is a-b= 3 . The length of the longest side of the triangle is?
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Step-by-step explanation:
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°.
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