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Question

Question 4 (iii)
Which of the following can be the sides of a right angled
triangle?

1.5 cm, 2 cm, 2.5cm
In case of right angled triangle, identify the right angle.


Solution

1.5 cm, 2 cm, 2.5cm

In ΔPQR,(PR)2=(PQ)2+(RQ)2
L.H.S.=(2.5)2=6.25 cm
R.H.S. = (1.5)2+(2)2=2.25+4=6.25 cm
Since ,L.H.S. =R.H.S.
Therefore, the given sides is of right angled triangle.
Right angle lies opposite to the greater side 2.5 cm, i.e., at Q.

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