# 4.  Which of the following can be the sides of a right triangle?          (i) , , 6 cm.          (ii) 2 cm, 2 cm, 5 cm.         (iii) , 2cm, .          In the case of right-angled triangles, identify the right angles.

As we know,

In a Right-angled Triangle: By Pythagoras Theorem,

(i) , , 6 cm.

As we know the hypotenuse is the longest side of the triangle, So

Hypotenuse = 6.5 cm

Verifying the Pythagoras theorem,

Hence it is a right-angled triangle.

The Right-angle lies on the opposite of the longest side (hypotenuse) So the right angle is at the place where 2.5 cm side and 6 cm side meet.

(ii) 2 cm, 2 cm, 5 cm.

As we know the hypotenuse is the longest side of the triangle, So

Hypotenuse = 5 cm

Verifying the Pythagoras theorem,

Hence it is Not a right-angled triangle.

(iii) , 2cm, .

As we know the hypotenuse is the longest side of the triangle, So

Hypotenuse = 2.5 cm

Verifying the Pythagoras theorem,

Hence it is a Right-angled triangle.

The right angle is the point where the base and perpendicular meet.

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