The vertex C is a right angle in the triangle ABC. If the points D and E are taken on the hypotenuse, so that BC = DE equals the sum of the perpendiculars from D and E on AC and BC respectively. CONSTRUCTION: Draw CN|AB and join CD and CE (Fig. BD and AC AE, show that A B D E

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The vertex C is a right angle in the triangle ABC. If the points D and E
are taken on the hypotenuse, so that BC = BD and AC
DE equals the sum of the perpendiculars from D and E on AC and BC
respectively.
CONSTRUCTION: Draw CNAB and join CD and CE (Fig.
AE, show that
%3D
%3D
A
B
D
N
E
Transcribed Image Text:The vertex C is a right angle in the triangle ABC. If the points D and E are taken on the hypotenuse, so that BC = BD and AC DE equals the sum of the perpendiculars from D and E on AC and BC respectively. CONSTRUCTION: Draw CNAB and join CD and CE (Fig. AE, show that %3D %3D A B D N E
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