Question

O is a point in the interior of a square ABCD such that OAB is an equilateral triangle .show that triangle COD is an isosceles triangle.
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Answer 1

Answer:

ΔCOD is an isosceles triangle

Step-by-step explanation:

ΔOAB is equilateral triangle then

ln ΔAOD and ΔBOC

AD=BC (sides of the square)

∠DAO=∠CBD=30  

0

 (90  

0

−angleofequilateralΔ(60  

0

))

AO=OB (sides of equilateral of triangle)

ΔAOD≅ΔBOC (SAS criterion)

then OD=OC

So ΔCOD is an isosceles triangle