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

Question

asked Apr 23, 2023 203k views

1 Answer

Trotter · Answer 1 · 2023-04-30T06:03:32+0000

Question 1

DC=AC-AD=20-16=4

Question 2

By the geometric mean theorem,

$BD^2 = (4)(16)=64 \\ \\ </p><p>BD=8$

Question 3

By the Pythagorean theorem,

$AB^2 = 8^2 + 16^2 \\ \\ AB^2 = 320 \\ \\ AB=8√(5)$

Question 4

By the Pythagorean theorem,

$BC^2 = 8^2 +4^2 \\ \\ BC^2 = 80 \\ \\ BC=4√(5)$