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Question
Sides of the triangle are 7 cm, 24 cm, and 25 cm. Determine whether the triangle is a right-angled triangle or not.
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Solution
The longest side is 25 cm.
∴ (25)2 = 625 ....(i)
Now, sum of the squares of the other two sides will be
(7)2 + (24)2 = 49 + 576
= 625 ....(ii)
∴ (25)2 = (7)2 + (24)2 .....[ From (i) and (ii)]
Yes, the given sides form a right angled triangle . ......[By converse of pythagoras theorem]
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