Question

What kind of triangle is it, if the angles are in the ratio 5 2 8.

Answer 1

Since the ratio is 5:2:8, so let the angles of the triangle be 5x , 2x and 8x respectively......... Now with angle sum property, 5x+2x+8x = 180°...... 15 x = 180°.......... x = 180/15 = 12...... Now put the value of 12 ......... 1 /_ = 5x = 5×12=60°...... 2 /_ = 2×12 = 24°....... 3 /_ = 8×12= 96°...... Since all the angles are of different values, which means that all the sides are also unequal in length , so it is a scalene ∆.