1.

if the angle of a triangle are in the ratio of 5:3:7 then show that the triangle is an acute angled triangle

Answer»

Angle sum property of triangle

A + B +C = 180°

Let the angle here be 5x ,3x and 7x

Then ,
5x + 3x + 7x = 180°
15x = 180°
x = 12°

A = 5x = 5×12=65°
B = 3x = 3×12° = 36°
C = 7x = 7× 12 = 84°

Since all the angles are LESS than 90° , they are acute angles.

Hence PROVED

✌Hope it HELPS ✌


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