Question

if the sides of a triangle are 3,4,6cm long determine whether the triangle is a right-angled triangle

Answer 1

long side of triangle is 6cm consider it as hypotenuse then,hypotenuse square=sum of square of other two side
3^2+4^2=6^2
9+16=36
25= 36
therefore according to the law
it is not equal
therefore it not an right angled triangle

Answer 2

We know that for a right angled triangle.

Side²+Side²=Hypotenuse²

Here longest side =hypotenuse =6

3²+4²≠ 6²

25≠36

Hence The traingle with sides 3,4,6 can't be a right angled triangle.