You had the right idea using the Pythagorean theorem to solve for b.
Problem is for that triangle to work, the 5 and the 2√2 would have to switch places. The length of a leg cannot be larger than the length of the hypotenuse for it to truly be a right triangle.
Pythagorean theorem only works for the right triangles. Only way to "solve this problem would be to bring in complex numbers.
5² + b² = (2√2)²
25 + b² = 2²(√2)²
25 + b² = 4(2)
25 + b² = 8
b² = 8 - 25
b² = - 17
b = √-17
b= (√17i)
Then the problem with THIS is a measurement/distance cannot be negative... which goes against exactly what that complex number i is.
Answer: The Answer Is C.
Step-by-step explanation:
When you divide each of them you will notice that C costs the least.
For choice A when you 5 by 3.25 you will get 0.65.
For choice B when you divide 8 by 6.10 you will get 0.7625
For choice C when you divide 12 by 7 you will get 0.5833.....
For choice D when you divide 10 by 6.44 you will get 0.644.
So when you look at the results you will see that choice C is the best deal.
Hypothenuse is the longest side
You can see the X is the longest
Solution: A. X
