Respuesta :

Answer:

9 in, or B

Step-by-step explanation:

We can easily apply the Pythagorean Theorem to this. You could either realize that this is a 3-4-5 Pythagorean triple or do the math by hand.

We start off by setting up the equation 12² + x² = 15². Simplifying, we get 144 + x² = 225, and then x² = 81 after subtracting 144 from both sides. Thus, the square root of x is 9, and so the answer is 9 inches.

Answer: B

Step-by-step explanation: You have to make sure the two small sides add up to be greater than the biggest side( in this case 15in)

12+9=21, 21>15 therefore 9 would work!

I eliminated C and D using only visual clues

why 27 is a no-go: if we did it the other way around where 27 is the biggest number, it would be 12+15=27, 27=27 *therefore since 27 is equal to 27 the three sides would not make a triangle*

why 19 is a no-go: if we did this the other way around where 19 is the biggest number, it would be 12+15=27, 27>19. *visual part* Although this seems like it would also work, does <AX really look like it's bigger than <WX or <AW XD

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