in figure 5.4 t triangle ABC is an equilateral triangle point F,D and E aadami point of side AB side BC

Questions

November 2022 2 4 Report

in figure 5.4 t triangle ABC is an equilateral triangle point F,D and E aadami point of side AB side BC side AC respectively show that triangle FED is a equilateral triangle

jiya07013

Verified answer

Answer:

EF∣∣BC

By basic proportionality theorm ,

ΔAFE∼ΔABC

Similarly ,

ΔFBD∼ΔABC

ΔECD∼ΔACB

Att point D

∠BDF+∠FDE+∠EDC=180

60+∠FDE+60=180

∠FDE=60 ∘

Similarly,

∠DEF=∠DFE=60 ∘

Hence ΔDEF is equilateral triangle.

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