Each triangle in this figure is an isosceles right triangle. The length of \(BD\) is 2 units. What is the number of units in the perimeter of quadrilateral \(ABCD\)? Express your answer in simplest radical form.

IntGeosc1 Aug 2, 2020

#1**+1 **

BD = 2 Use pythag theorem to find sides ab and ad = sqrt2

then DC = 2

and CB = sqrt 8 soooooo 2 + 2 sqrt2 + sqrt8 = 2 + 4 sqrt2

ElectricPavlov Aug 3, 2020