Question

In the adjoining figure ABC is an equilateral triangle and BCDE is a square. Prove that AE = AD​

Answer 1

Answer:

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Step-by-step explanation:

so here quadrilateral BCDE is a square

thus then

BC=CD=DE=EB (1)

Moreover triangle ABC is an equilateral triangle

so thus

AB=BC=AC (2)

so considering triangle EAB and triangle DAC

AB=AC

EB=CD from (1) and (2)

Moreover Angle EAB=Angle DAC (common)

Hence Triangle EAB congruent to Triangle DAC by SAS Test

thus then

AE=AD (c.s.c.t)

Hence proved