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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

 Apr 29, 2020
 #1
avatar+770 
+3

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

 Apr 29, 2020
 #2
avatar+639 
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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

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