A right triangle has side lengths 6cm, 9cm, and xcm. What is the largest possible value of x? A) 4√ 19 B) 4√ 7 C) 3√ 13 D) 3√ 11 E) Other
Here, we'd want x as the hypotenuse (as that is the longest part of a right triangle). So, 6 cm and 9 cm would be the legs.
Using the Pythagorean theorem, we can find the value of x:
62 + 92 = x2
36 + 81 = x2
117 = x2
x = √117, so I'd think that would fall under E) Other. :D
I agree (it is very important to learn and understand the Pythagorean theorem in order to solve and enjoy complex problems.)
Here to help
:D