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CBSE Class 9 Answered

ABCD is a square and on the side DC, an equilateral triangle is constructed. Prove that (i) AE = BE and (ii) DAE = 15o
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

AD = BC (sides of a square)

DE = CE (sides of equilateral triangle)

ADE = BCE = 90o + 60o = 150o

(BY SAS congruence theorem)

AE = BE

ADE = 90o + 60o = 150o

As AD=DC(sides of a square)

DC=DE

so, AD=DE

ADE=DEA

DAE =

= 15o

Answered by | 04 Jun, 2014, 03:23: PM

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