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

Nerdo Apr 29, 2020

#1**+2 **

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:

6^{2} + 9^{2} = x^{2}

36 + 81 = x^{2}

117 = x^{2}

x = √117, so I'd think that would fall under E) Other. :D

CentsLord Apr 29, 2020

#2**0 **

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

LuckyDucky
Apr 29, 2020