Difference between revisions of "1995 AJHSME Problems/Problem 24"
Mrdavid445 (talk | contribs) (Created page with "==Problem== In parallelogram <math>ABCD</math>, <math>\overline{DE}</math> is the altitude to the base <math>\overline{AB}</math> and <math>\overline{DF}</math> is the altitude t...") |
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<math>\text{(A)}\ 6.4 \qquad \text{(B)}\ 7 \qquad \text{(C)}\ 7.2 \qquad \text{(D)}\ 8 \qquad \text{(E)}\ 10</math> | <math>\text{(A)}\ 6.4 \qquad \text{(B)}\ 7 \qquad \text{(C)}\ 7.2 \qquad \text{(D)}\ 8 \qquad \text{(E)}\ 10</math> | ||
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| + | ==Solution== | ||
Revision as of 13:51, 1 May 2012
Problem
In parallelogram 
, 
is the altitude to the base 
and 
is the altitude to the base 
. [Note: Both pictures represent the same parallelogram.] If 
, 
, and 
, then 
![[asy] unitsize(12); pair A,B,C,D,P,Q,W,X,Y,Z; A = (0,0); B = (12,0); C = (20,6); D = (8,6); W = (18,0); X = (30,0); Y = (38,6); Z = (26,6); draw(A--B--C--D--cycle); draw(W--X--Y--Z--cycle); P = (8,0); Q = (758/25,6/25); dot(A); dot(B); dot(C); dot(D); dot(W); dot(X); dot(Y); dot(Z); dot(P); dot(Q); draw(A--B--C--D--cycle); draw(W--X--Y--Z--cycle); draw(D--P); draw(Z--Q); label("$A$",A,SW); label("$B$",B,SE); label("$C$",C,NE); label("$D$",D,NW); label("$E$",P,S); label("$A$",W,SW); label("$B$",X,S); label("$C$",Y,NE); label("$D$",Z,NW); label("$F$",Q,E); [/asy]](http://latex.artofproblemsolving.com/9/e/2/9e2bbb0a9b55e0060cb42c71e75562e282f6032e.png)
