can someone help me with this math question. I am asked to show my work but I don't know how to do so. The question is: The following set of numbers a perfect triple? 8, 10, 12 yes or now and how so? Thanks for your help.
do you mean a perfect Pythagorean triple?
Hi Sylvia,
Yes, that is what was meant. Thanks for getting clarification. I look forward to your help. Thanks again.
determine whether or not
8^2 + 10^2 = 12^2
does 64 + 100 = 144....no so it is not a pyth triple
Of course, I can help you with that math question! To determine if a set of numbers is a perfect triple, we need to check if all three numbers satisfy a specific relationship. In this case, the relationship we're looking for is based on the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
So, let's check if the numbers 8, 10, and 12 form a perfect triple by using the Pythagorean theorem:
Step 1: Arrange the numbers in increasing order: 8, 10, and 12.
Step 2: Check if the sum of the squares of the two smaller numbers is equal to the square of the largest number.
Calculating the squares of the numbers:
8^2 = 64
10^2 = 100
12^2 = 144
Checking the relationship:
Is 64 + 100 = 144?
If the sum on the left side is equal to the number on the right side, then the numbers form a perfect triple. Otherwise, they do not.
In this case, 64 + 100 = 164, which is not equal to 144. Therefore, the set of numbers 8, 10, and 12 is NOT a perfect triple.
Remember, when showing your work, it's important to write down each step clearly and explain the reasoning behind it. In this case, you would write down the steps of calculating the squares of the numbers and checking the relationship between them.