Is the following set of numbers a perfect triple? 7, 24, 25
i don't know what they mean
They mean "Could those three numbers be the side lengths of a right triangle?". This will be true is a^2 + b^2 = c^2, where c is the length of the longest side and a and b are the lengths of the other two sides.
Does 49 + 576 = 625?
Looks good to me.
I meant to write:
<<This will be true IF a^2 + b^2 = c^2... >
A perfect triple refers to a set of three positive integers (a, b, c) that satisfy the condition a^2 + b^2 = c^2. In other words, if you square the first number, square the second number, and add them together, you should get the square of the third number.
To determine whether the set of numbers (7, 24, 25) is a perfect triple, we can follow these steps:
1. Square the first number: 7^2 = 49
2. Square the second number: 24^2 = 576
3. Add the squared values: 49 + 576 = 625
4. Square the third number: 25^2 = 625
If the sum of the squared values is equal to the square of the third number, then the set of numbers is a perfect triple. In this case, (7, 24, 25) is indeed a perfect triple since 49 + 576 = 625, which is equal to 25^2.