I need some help with a problem for Pythagorean Theorem, if you would like to help!
13.65=√6.5^2+12^2
For the problem above, I need help finding the steps to doing it, I'm one of those kinds of people that can get the problem, but not sure how I got it.
√4^2+9^2
For the problem above, I'm confused and am unsure how to get the answer.
Thanks :)
Sorry if that didn't make any sense!! lol I'm trying my best!
The square root of a squared value is that value.
e.g., √4^2+9^2 = 4 + 81 = ?
Absolutely! I'd be happy to help you with the Pythagorean Theorem problems.
Let's start with the first problem:
13.65 = √(6.5^2 + 12^2)
To solve this equation, follow these steps:
1. Square the numbers inside the parentheses:
(6.5^2 + 12^2) = (42.25 + 144) = 186.25
2. Rewrite the equation:
13.65 = √186.25
3. To isolate the square root, square both sides of the equation:
(13.65)^2 = (√186.25)^2
186.9225 = 186.25
4. Simplify the equation:
186.9225 = 186.25
The equation is true, which means that (√6.5^2 + 12^2) = 13.65 is correct.
Moving on to the second problem:
√(4^2 + 9^2)
To solve this equation, follow these steps:
1. Square the numbers inside the parentheses:
(4^2 + 9^2) = (16 + 81) = 97
2. Rewrite the equation:
√97
3. Since 97 is not a perfect square, we cannot simplify it further. Hence, the answer is √97.
So, (√4^2 + 9^2) = √97.
I hope this helps! Let me know if you have any further questions.
I think you wanted
√(4^2 + 9^2) = √(16+81) = √97
But you did not include the parentheses, so PsyDAG's result is correct for what you posted.
√(6.5^2 + 12^2) = √(42.25 + 144) = √186.25 = 13.65