Question

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

Answer 1

on applying pythagoras theorem
(6)²= (3)² + (4)²
36 = 9 + 16
36 is not equal to 25
so given triangle is not right angled one.

Answer 2

1st side=3cm
2nd side=4cm
3rd side=6cm
In this triangle, the 3rd side is greatest.
So, (6cm)^2=36cm^2
Again, (3cm)^2+(4cm)^2=9cm^2+16cm^2
=25cm^2
In this case the Pythagoras theorm is not followed as (6cm)^2 is not equal to (3cm)^2+(4cm)^2.
We know that if in a triangle the Pythagoras theorm is not followed then the triangle is not a right angled.
Thus, the triangle is not a rt. angled triangle.

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