Do these sides form right angle 1.5cm, 2cm, 2.5cm In the case of right angled triangles, identify the side opposite to right angle.
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Solution
Let us consider, the larger side be the hypotenuse and also using Pythagoras theorem,
(Hypotenuse)2=(Base)2+(Perpendicular)2 1.5cm, 2cm, 2.5cm In ΔPQR, (PR)2=(PQ)2+(RQ)2 L.H.S.=(25)2=6.25cm R.H.S.=(1.5)2+(2)2=2.25+4=6.25cm Since, L.H.S.=R.H.S. Therefore, the given sides are of the right angled triangle. Right angle lies opposite to the greater side 2.5cm