Math, asked by legend1121511, 6 months ago

to show that angles opposite to equal sides of a triangle are equal. Plz help me wid this question and give answer if u know or else don't jxt to increase ur points....

Plz help.....​

Answers

Answered by aryan6365
3

Answer:

Angles opposite to equal sides of a triangle are equal. Sides opposite to equal angles of a triangle are equal. Each angle of an equilateral triangle is of 60°. If three sides of one triangle are equal to three sides of the other triangle, then the two triangles are congruent (SSS Congruence rule)

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Answered by saounksh
1

GIVEN

  • Triangle ABC such that AB = AC.

TO PROVE

  • ∠ABC = ∠ACB

CONSTRUCTION

  • From A, draw a line AD bisecting BC at D.

PROOF

In ΔABD and ΔACD

☞︎︎︎ AB = AC (Given)

☞︎︎︎ BD = CD (By Construction)

☞︎︎︎ AD = AD (Common)

By SSS congruent criteria

ΔABD ≅ ΔACD

Corresponding angles of congruent triangles are equal. Hence,

∠ABC = ∠ACB

Hence Proved

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