Question

The triangle ABC is given. The ratio of the interior angles is a:b:r=3:2:13 and the difference of two sides is a-b = 3. The length of the longest side of the triangle is:

Answer 1

Let common factor of ratio of angles is X.

Ratios are 2:3:5 given.

So, 2*X+3*X+5*x=180° angles of a triangle. - sum of three

Now,

10*X=180°

So, X=18°.

Hence angles are 36°, 54° and 90°.