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Do sides 7 cm, 24 cm, 25 cm form a right angled triangle? Give reason.

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The sides of the triangle are 7 cm, 24 cm and 25 cm.

The longest side of the triangle is 25 cm.

∴ (25)2 = 625

Now, sum of the squares of the remaining sides is,

(7)2 + (24)2 = 49 + 576

= 625

∴ (25)2 = (7)2 + (24)2

∴ Square of the longest side is equal to the sum of the squares of the remaining two sides. 

∴ The given sides will form a right angled triangle. 

[Converse of Pythagoras theorem]

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