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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.

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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
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.


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