Mathematics
The lengths of the sides of some triangles in some unit are given below. Which of them is a right-angled triangle?
7, 9, 13
10, 24, 26
6, 8, 12
8, 12, 16
Pythagoras Theorem
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Answer
Choose the greatest length. Check whether the square of greatest length is equal to the sum of squares of other two lengths.
10, 24, 26
Here greatest length is 26 cm and other lengths are 24 cm, 10 cm.
Note that 262 = 676 and 242 + 102 = 576 + 100 = 676.
Thus, 262 = 242 + 102.
Thus, triangle with sides 10, 24, 26 form a right-angled triangle.
Hence, option 2 is the correct option.
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