How you can prove that the base angles of on isosceles triangle is equal?
Answers
Given : Isosceles triangle
To Find : prove that the base angles are equal
Solution:
Let say DEF is an isosceles triangle with DE = DF
Need to show ∠E = ∠F
Draw Median EG
Compare ΔDEG and ΔFEG
Segment EG ≅ Segment EG Using The reflexive property of congruence
EG is common in Both
Segment DE ≅ Segment EF ( Equal side of Isosceles triangle)
Segment DG ≅ Segment GF ( Median Divides side in two Equal parts )
=> ΔDEG ≅ ΔFEG
=> ∠E ≅ ∠F
Hence m∠E = m∠F
Hence proved that the base angles of an isosceles triangle is equal
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