Question

Complete the two-colomn proof.
Given: ∆JUG is an equilateral and Un is one of its medians
∆
Prove: ∆JUN ≈ ∆GUN​

Answer 1

Given :- Given: ∆JUG is an equilateral and UN is one of its medians .

Prove :- ∆JUN ≅ ∆GUN .

Solution :-

In ∆JUN and ∆GUN we have,

→ JN = GN { given that, UN is median of an equaliteral ∆JUG, so it will bisect the base. }

→ ∠JNU = ∠GNU { Median of an equaliteral ∆ is also perpendicular bisector of the opposite side. so both angle will be 90° }

→ UN = UN (common.)

then,

→ ∆JUN ≅ ∆GUN { By SAS congruence rule.}

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