Difference between revisions of "2022 SSMO Team Round Problems/Problem 5"
(Created page with "==Problem== Consider the following rectangle <math>ABCD</math> where <math>BC=8.</math> If<cmath>CD=CT_2, 4T_2P_2=2DP_1=AC, [ADP_1C]=33, \text{ and }[ABP_2C]=34,</cmath>find t...") |
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Revision as of 13:06, 14 December 2023
Problem
Consider the following rectangle where Iffind the value of (Note that is the area of .)
[asy] unitsize(0.25cm); dot((0,0)); dot((12,0)); dot((12,16)); dot((0,16)); draw((0,0)--(12,0)--(12,16)--(0,16)--(0,0)--cycle); dot((8,22)); dot((17,4)); dot((8,16)); dot((12,4)); label("", (0,0), SW); label("", (12,0), SE); label("", (12,16), NE); label("", (0,16), NW); label("", (8,22), NE); label("", (17,4), SE); label("", (8,16), SE); label("", (12,4), SW); draw((8,22)--(8,16),dashed+linewidth(.5)); draw((12,4)--(17,4),dashed+linewidth(.5)); [/asy]