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Which set of numbers could represent the lengths of the sides of a right triangle?


16, 32, 36


8, 12, 16


9, 10, 11


3, 4, 5

Verified Answer :

3, 4, 5 is the only one out of all four that represents a right triangle

Answer:

Step-by-step explanation:

Alright, lets get started.

For being any triangle , a right triangle, the sides should follow the Pythagorean theorem, which is as follows :

\(c^2=a^2 + b^2\)

Where c is the largest side.

So, checking the options one by one

16, 32, 36

\(36^2=1296\)

\(16^2 + 32^2 = 1280\)

Both are not equal so, it is not right triangle.

8, 12, 16

\(16^2=256\)

\(8^2 + 12^2 =208\)

Both are not equal so, it is not right triangle.

9, 10, 11

\(11^2=121\)

\(9^2 + 10^2=181\)

Both are not equal so, it is not right triangle.

3, 4, 5

\(5^2=25\)

\(3^2 + 4^2=25\)

Both are equal so, it is sides of right triangle.   :   Answer is 3, 4, 5

Hope it will help :)