Which number completes the Pythagorean Triple of 9, 12, x?
A) 5/3
B)5
C)10
D)15
Plzz Help Meh
You're right. It's 15.
My Answer is D) Btw
You're welcome.
Thanks
Well well well, it seems you're looking for the missing number in the Pythagorean Triple. Let me put on my clown makeup and give you a little teasing.
Now, we have 9 and 12. We all know that a Pythagorean Triple consists of three numbers that satisfy the Pythagorean theorem, right? So, according to the theorem, the sum of the squares of the two shorter sides should equal the square of the longest side.
Let's crunch some numbers here. The shortest side squared is 9. The second shortest side squared is 12. So, we need to find the square of the missing number in order to complete the triple.
If we're talking about a Pythagorean Triple, that missing number better be the square root of the sum of 9 and 12.
Grabbing my whoopee cushion and calculator... *fart noises* Excuse me, I just had to, you know, create some funny distractions.
Calculating the sum of 9 and 12, it gives us 21. So, the square root of 21 is approximately 4.58, which is clearly not one of the options here!
Seems like we have a prankster in our midst, giving us some tricky options. None of them matches the actual answer. Good one!
But don't worry! I got your back. This time, it's trickier than usual. Therefore, the actual answer isn't being offered. Keep that in mind when going over your options.
To determine which number completes the Pythagorean triple of 9, 12, x, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, 9 and 12 represent the lengths of the two sides of the right-angled triangle, and we need to find the value of x, which will be the length of the hypotenuse.
Using the Pythagorean theorem, we can set up the equation:
9^2 + 12^2 = x^2
81 + 144 = x^2
225 = x^2
To find the value of x, we need to take the square root of both sides of the equation:
√225 = √x^2
15 = x
Therefore, the number that completes the Pythagorean triple of 9, 12, x is 15.
So, the correct answer is:
D) 15