Which set of numbers could represent the side lengths of a right triangle? O A. 2, 3, 4
O B.
4, 5, 6
OC. 6, 9,
9, 12
D. 8, 15,
15, 17

 D) 8, 15, 17

Step-by-step explanation:

In order for three side lengths to represent a right triangle, they must satisfy the Pythagorean Theorem: a² + b² = c²    where c is the largest side.

A) 2² + 3² = 4²

   4  +  9   = 16      

       13      = 16      FALSE

B) 4² + 5² = 6²

  16  + 25 = 36

       41     = 36       FALSE

C) 6² + 9² = 12²

   36 + 81 = 144

       117    = 144       FALSE

D) 8² + 15² = 17²

  64 + 225 = 289

       289    = 289     TRUE!

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9

irrational, cannot