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Equilateral Crease (Posted on 2013-04-13) Difficulty: 3 of 5
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:
  1. The length of EF in terms of x.
  2. The area of each of the triangles BED, DEF and DFC in terms of x.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts Numeric values from Geometers' Sketchpad | Comment 1 of 4

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
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