BODY { margin:0px; } #education_m { text-align:left; width:1081px; background-color:#ffffff; } #education_nar { text-align:left; width:697px; background-color:#ffffff; padding:17px; } #banner { background-color:#333333; padding:10px; border-bottom:#003366 5px solid; } #banner td.title{ padding-left:10px; font-size:13pt; } #footer { background-color:#333333; padding:5px; font-size:12px; color:#cccccc; border-top:#003355 5px solid; } #education_m, #education_nar { font-family:Arial, serif; font-size:9pt; color:#000000; } #education_a { margin-top:15px; margin-bottom:30px; padding-left:5px; border-left:pink 5px solid; } #education_l { width:1081px;; background-color:#F8F0EA; color:#000000; padding:8px; padding-right:0px; padding-left:0px; border-bottom:#999999 1px solid; } font.de { color:#333333; line-height:17px; } a:link, a:hover, a:active, a:visited { font-size:10pt; color:#003399; font-family:Arial, serif; } #education_l a{ font-size:10pt; text-decoration:none; color:#333333; padding-left:15px; } #education_l a:hover{ text-decoration:underline; } #education_li a{ font-size:10pt; text-decoration:underline; color:#333333; padding-left:0px; } #education_li a:hover{ text-decoration:underline; } #education_text a{ font-size:9pt; text-decoration:none; color:#000000; padding-left:0px; } #education_text a:hover{ text-decoration:underline; } #education_li1 { font-size:8pt; color:333333; padding-left:7px; } #header { font-size:20px; color:003366; } #right { vertical-align:top; float:right; width:200px; margin-top:50px; } #b { padding:5px; padding-left:20px; background-color:#eeeeee; width:100%; border-bottom:#999999 1px solid; padding-top:9px; } html { height: 100%; overflow: auto; } #header0 { font-size:20px; color:003366; }
   Home Geometry Problems All problems Areas 271-280 View or post a solution
Problem 280: Quadrilateral, Perpendiculars, Area of Squares

In the figure below, from a point O inside or outside of a quadrilateral ABCD, perpendiculars are drawn to the sides meeting AB, BC, CD, AD at points D, E, F, and G, respectively. If S1, S2, S3, S4, S5, S6, S7, and S8 are the areas of the squares of sides AD, DB, BE, EC, CF, FD, DG, and GA, respectively, prove that S1 +S3 + S5 + S7 = S2 + S4 + S6 + S8 .

Quadrilateral: Squares Area

 
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