Answer: Mckenzie is correct
I had to reformat this section with the way it was typed, please let me know if I did anything wrong.
Mckenzie's Work
a² + b² = c²
25 + 169 = c²
194 = c²
Square root 194 equals square root c squared.
c ≈ 13.93
Cara's Work
a² + b² = c²
25 + b² = 169
b² = 144
Square root b squared equals square root 144.
b ≈ 12
[] Right away we can tell that Cara is not correct.
-> Cara solves for b. We already have a b value, we need to solve for "c" in the equation.
[] Now let's look at Mckenzie.
-> Mckenzie does solve for the right variable, so let's see if she did it correctly.
-> First, she sets is up using a² + b² = c² since this is a right triangle. Next, she squares 5 to 25 and 13 to 169. Both correct.
-> Now they are added together. 25 + 169 do equal 194 so this looks correct.
-> Last, we square both sides. [tex]\sqrt{194}[/tex] ≈ 13.928388 which rounds to 13.93, so it looks like Mckenzie is correct.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
