Question

In the isoceles abc ab=ac. perpendicular bd and ce are dreawn from the vertices b and c,to the opposite sides. show tgat bd =ce

Answer 1

Answer:

Step-by-step explanation:

Given - ΔABC is an isosceles triangle such that AB = AC

           BD ⊥ AC & CE ⊥ AB

To prove - BD = CE

Proof -

            In ΔABD & ΔCAE,

∠BDA = ∠CEA  (Both are 90°)

∠ A = ∠ A   (Common)

AB = AC   (Given)

So,

     Δ ABD ≅ Δ CAE

BD = CE     (C.P.C.T.)

                                    # Hence proved.

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