1. Prove that angles opposite to equal sides of an isosceles
triangle are equal.step by step
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Step-by-step explanation:
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Answer:
Given
AB = BC
To prove
Angle B = Angle C
Construction
Draw AD perpendicular to BC such that BD = DC
Proof
In ∆ABD & ∆ACD
AB = AC (GIVEN)
BD = CD (BY CONSTRUCTION)
AD = AD (COMMON)
∆ABD ≈ ∆ ACD BY SSS CRITERIA.
ANGLE B = ANGLE C BY CPCT.
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