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