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Question

ABCD is a square and DEC is an equilateral triangle. ADEBCE by

286291_bf5ab9be87e442338a39d7bbedb11236.png

A
RHS
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B
SSS
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C
AAS
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D
SAS
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Solution

The correct option is D SAS
Given,
ADC=BCD=90 ...... (Angles of a square)
Also, EDC=ECD=60 ...... (Angles of equilateral triangle)
Adding the two equations,
ADC+EDC=BCD+ECD
D=C (1)
Now, in AED and BEC,
AD=BC (Sides of a square)
ED=EC (Sides of an equilateral triangle)
D=C (From 1)
Thus, AEDBEC ...... (By SAS rule)

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