A paper has the precise shape of a triangle which is denoted by ABC, with AB = BC = CA = x (say) and, D is a point on BC.
Vertex A is joined onto D forming the crease EF - where E is on AB and F is on AC.
Given that DF is perpendicular to BC, determine:
- The length of EF in terms of x.
- The area of each of the triangles BED, DEF and DFC in terms of x.
Geometer's Sketchpad approximates EF as 0.56841 x.
Area of BED ~= 0.11603 * x^2
Area of DEF ~= 0.12740 * x^2
Area of DFC ~= 0.06218 * x^2
Posted by Charlie
on 2013-04-13 14:41:49