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In the Given Figure, Prove That: Bd = Bc. - Mathematics

Sum

In the given figure, prove that: BD = BC.

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Solution

Proof:

In right Δ ABD and Δ ABC

Side AB = Side AB ...................(common)

Hypotenuse AD = Hypotenuse AC ...............(given)

∴ Δ ABD ≅ Δ ABC ................(R.H.S. Axiom)

Hence BD = BC .................(c.p.c.t.)

Hence proved.

Concept: Extend Congruence to Simple Geometrical Shapes E.G. Triangles, Circles.
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APPEARS IN

Selina Concise Mathematics Class 7 ICSE
Chapter 19 Congruency: Congruent Triangles
Exercise 19 | Q 7
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