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May 14th, 2019, 02:12 AM  #1 
Newbie Joined: May 2019 From: Lithuania Posts: 1 Thanks: 0  Triangle's area which is in a trapezoid
The are of the trapezoid is 234. Can you help me find the area of the darker triangle?
Last edited by skipjack; May 14th, 2019 at 05:21 AM. 
May 14th, 2019, 05:25 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,623 Thanks: 2076 
Area($\small\triangle$BCE) = Area($\small\triangle$BCD)/2 and Area($\small\triangle$ADE) = Area($\small\triangle$ADB)/2. $\therefore$ Area($\small\triangle$BCE) + Area($\small\triangle$BCD) = Area(ABCD)/2, and so Area($\small\triangle$ABE) = Area(ABCD)/2 = 117. 

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area, trapezoid, triangle 
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