Question

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

Answer 1

Let us consider, the larger side be the hypotenuse and also using Pythagoras theorem,
$(Hypotenuse{)}^2=(Base{)}^2+(Perpendicular{)}^2$
2 cm, 2 cm, 5cm

$(5{)}^2=(2{)}^2+(2{)}^2$
$L.H.S.=(5{)}^2=25$
$R.H.S.=(2{)}^2+(2{)}^2=4+4=8$
Since, L.H.S. $\ne$ R.H.S.
Therefore, the given sides are not of the right angled triangle.