+0  
 
0
98
1
avatar

We know $\overline {DE}\parallel \overline {BC}.$ Given $[ADE]=9$ and $[CDE]=6,$ find $[ABC].$ [asy] size(5cm); pair A,B,C,D,EE; B=(0,0); C=(5,0); A=(3,3); D=(2A+3C)/5; EE=(2A+3B)/5; draw(C--B--A--C--EE--D); label("$A$",A,N); label("$B$",B,SW); label("$C$",C,SE); label("$D$",D,E); label("$E$",EE,W); [/asy]

PLEASE ANSWER ASAP!
 Oct 16, 2021
 #1
avatar
0

The area of triangle BCE is 12, so the area of triangle ABC is 6 + 9 + 12 = 27.

 Oct 16, 2021

15 Online Users