Question 4 (i)
Which of the following can be the sides of a right triangle?
2.5 cm, 6.5 cm, 6cm
In the case of right angled triangles, identify the right angles.
Let us consider, the larger side be the hypotenuse and also using Pythagoras theorem,
(Hypotenuse)2=(Base)2+(Perpendicular)2
2.5 cm, 6.5 cm, 6cm
In ΔABC,(AC)2=(AB)2+(BC)2
L.H.S.=(6.5)2=42.25cm
R.H.S.=(6)2+(2.5)2=36+6.25=42.25cm
Since, L.H.S. = R.H.S.
Therefore, the given sides are of the right angled triangle.
Right angle lies on the opposite to the greater side 6.5 cm, i.e., at B.