Question

Prove that angles apposite to equal sides of an isosceles triangle are equal

Answer 1

Answer:

it's equal......... .

Answer 2

Answer:

Angles Opposite to Equal Sides of an Isosceles Triangle are Equal

Given: In the isosceles ∆XYZ, XY = XZ.

To prove ∠XYZ = ∠XZY.

Construction: Draw a line XM such that it bisects ∠YXZ and meets the side YZ at M.

Proof

                Statement                              Reason

  1. In ∆XYM and ∆XZM        1.

  (i) XY = XZ                            (i) Given.

  (ii) XM = XM                          (ii) Common side.

  (iii) ∠YXM = ∠ZXM               (iii) XM bisects ∠YXZ.

  2. ∆XYM ≅ ∆XZM                2. By SAS criterion

 3. ∠XYZ = ∠XZY. (Proved)    3. CPCTC.

   

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