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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.

 

by Converse of Pythagoras theorem

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