Question

In the given figure, equilateral triangle ABD and triangle ACE are drawn on the side of triangle ABC. Prove that CD = BE

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

Answer:

Given÷∆ABD and ∆ACE are equilateral triangle

To Prove ÷ angle CAD=angle BAE

CD=BE

Proof ÷ angle CAD=angle CAB+angle BAD

Angle CAD=angle CAB+60°

(since angle CAE=60°)

angle CAD=angle CAB+angle CAE

since,angle CAE =60°

angle CAD=angle BAE

Hence,proved

In∆CADand∆BAE

BD=AD(equilateral triangle )

angle CAD=angle BAE(Proved above)

AC=AE(equilateral triangle)

By SAS,

∆CAD=~∆BAE

So,CD=BE(By CPCT)

Hence,proved