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Question : Which of the following ratios can be the ratio of the sides of a right-angled triangle?

Option 1: 9 : 6 : 3

Option 2: 13 : 12 : 5

Option 3: 7 : 6 : 5

Option 4: 5 : 3 : 2


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 26th Jan, 2024

Correct Answer: 13 : 12 : 5


Solution : By Pythagoras theorem,
In a right-angled triangle, the sum of squares of the length of smaller sides = square of the length of the largest side.
By trial and error,
9 2 $\neq$6 2 + 3 2
7 2 $\neq$6 2 + 5 2
5 2 $\neq$3 2 + 2 2
12 2 + 5 2 = 144 + 25 = 169 = 13 2
So, 13 : 12 : 5 is the ratio of the sides of a right-angled triangle.
Hence, the correct answer is 13 : 12 : 5.

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