- A D is a line segment- B and C are points i- A B - the interior if A C-B D- then prove that A B-C D-

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Segments and Its Properties

[ A D is a li...

Question

AD is a line segment. B and C are points in the interior if AC = BD, then prove that AB = CD.

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Solution

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A C = B D

A B = C D

A C = B D,

A B = C D

△ A B C, A B = A C, B D ⊥ A C

B D^{2} - C D^{2} = 2 A D . C D

Δ A B C, A B = A C

B D ⊥ A C

B D^{2} - C D^{2} = 2 C D \times A D

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