Question

If bd = 0.6 in. and ab = 0.8 in., calculate the length of line segment da . circle d with tangent line segment ac touching the circle's edge at point b; radius db; line segment ad

Answer 1

we know that
if AC is a tangent line segment
then
AC is perpendicular to segment BD

therefore
in the right triangle ABD
applying the Pythagorean Theorem
AD²=BD²+AB²
BD=0.6 in
AB=0.8 in
AD²=0.6²+0.8²----> AD²=0.36+0.64-----> AD²=1
AD=1 in

the answer is
the length of line segment DA is 1 in