What characteristics of the renaissance does the quotation reflect

ABD = 180 - 65 = 115 degrees

ADB = 180 - 45 - 115 = 20 degrees

First box, no check.

ACD is 90 degrees, so

second box, no check

Law of Sines:

AB / sin ADB = AD / sin ABD

AD = AB (sin ABD / sin ADB ) = 18 (sin 115 / sin 20) = 47.6976

ACD is an isosceles right triangle so

CD = 47.6976/√2 = 33.7

CD=33.7, CHECK

sin 65 = CD/BD

BD = CD/sin 65 = 33.7/sin 65 = 37.2

BD=37.2 CHECK