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Which set of side lengths forms a right triangle? o , 2, 3, 13 0 0 0 4. 6. 10 9. 12. 18 15. 36. 39

User Tsury
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1 Answer

4 votes

For the right triangle:

the hypotenuse is the longest side

And the square of the hypotenuse = the sum of the squares of the other sides

so, let check the given options:

A) 2, 3, 13

13^2 = 169

And 2^2 + 3^2 = 13

so, 2, 3, 13 are not sides of a right triangle

B) 4. 6. 10

4^2 + 6^2 = 52

10^2 = 100

So, 4, 6, 10 are not sides of the right triangle

C) 9. 12. 18

9^2 + 12^2 = 225

18^2 = 324

So, 9, 12 , 18 are not sides of the right triangle

D) 15. 36. 39

15^2 + 36^2 = 225 + 1296 = 1521

39^2 = 1521

So, 15^2 + 36^2 = 39^2

So, 15, 36, 39 are set of side lengths of a right triangle

User Rosen Dimov
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