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Question

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
1.5 cm, 2 cm, 2.5 cm
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 2.5 cm
1338835_1645821_ans_4cddc2fb3b174e0a99e21020dec05e98.png

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