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Question
Sides of a triangle are 7, 24 and 25. Determine whether the triangle is a right-angled triangle or not.
Solution
By Pythagoras, if the sum of squares of two sides is equal to the square of the largest side then the triangle is said to be right-angled
Here given sides of the triangle are 7, 24 and 25
Largest side = 25
252 = 625
Sum of squares of remaining two sides
72 + 242 = 49 + 576
= 625
∴ 72 + 242 = 252
Therefore triangle having sides 7,24 and 25 is a right-angled triangle
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