Question

If the sides of a triangle are in ratio 3:4:5,prove it right angled triangle

Answer 1

3x + 4x + 5x= 180
12x = 180
X = 15
3x= 45
4x = 60
5 x = 75
Now the sides follow the P. G.T
therefore it is right

Answer 2

if the triangle is a right angled triangle, then one of it's angle has to be of 90°
according to angle sum property of a triangle
3x+4x+5x=180°
12x=180°
x=180÷12
x=15°
3x=45°
4x=60°
5x=75°

as no angle is of 90°, it is not a right angled triangle