Difference between revisions of "2024 AMC 8 Problems/Problem 11"
Dreamer1297 (talk | contribs) (→Problem) |
(→Video Solution (easy to digest) by Power Solve) |
||
| Line 32: | Line 32: | ||
==Video Solution (easy to digest) by Power Solve== | ==Video Solution (easy to digest) by Power Solve== | ||
https://www.youtube.com/watch?v=2UIVXOB4f0o | https://www.youtube.com/watch?v=2UIVXOB4f0o | ||
| + | |||
| + | |||
| + | ==Video Solution 3 by SpreadTheMathLove== | ||
| + | https://www.youtube.com/watch?v=RRTxlduaDs8 | ||
Revision as of 13:15, 26 January 2024
Contents
Problem
The coordinates of 
are 
, 
, and 
, with 
. The area of is 12. What is the value of 
?
![[asy] draw((3,11)--(11,7)--(5,7)--(3,11)); dot((5,7)); label("$A(5,7)$",(5,7),S); dot((11,7)); label("$B(11,7)$",(11,7),S); dot((3,11)); label("$C(3,y)$",(3,11),NW); [/asy]](http://latex.artofproblemsolving.com/3/a/1/3a1150ef27a4bba82b5f1aa665dc3e1dbe92d9f8.png)
Solution 1
The triangle has base 
which means its height satisfies
![\[\dfrac{6h}{2}=3h=12.\]](http://latex.artofproblemsolving.com/e/4/4/e448c160a210aadf166e977d28c622077d4e0ddf.png)
This means that 
so the answer is 
Video Solution by Math-X (First understand the problem!!!)
~Math-X
Video Solution (easy to digest) by Power Solve
https://www.youtube.com/watch?v=2UIVXOB4f0o
