Question

Can someone explain this to me? I'm not entirely sure this question has enough information to be solved. Thanks!

Answer 1

Question 1

$DC=AC-AD=20-16=4$

Question 2

By the geometric mean theorem,

$BD^2 = (4)(16)=64 \\ \\ BD=8$

Question 3

By the Pythagorean theorem,

$AB^2 = 8^2 + 16^2 \\ \\ AB^2 = 320 \\ \\ AB=8\sqrt{5}$

Question 4

By the Pythagorean theorem,

$BC^2 = 8^2 +4^2 \\ \\ BC^2 = 80 \\ \\ BC=4\sqrt{5}$