Question

In the following figure, BA¯¯¯¯¯¯¯¯ is a perpendicular bisector of DC¯¯¯¯¯¯¯¯.

Answer 1

Given: The image shown where BA is a perpendicular bisector of DC

To Determine: The value of length BC

Solution

Please note BA divides line DC into two equal parts because its a perpendicular bisector

If the point of intersection of BA and DC is O, then triangle BOD and AOC form a right triangle

Using pythagora theorem

$\begin{gathered} From,\Delta BOD \\ DB^2=OD^2+OB^2 \\ 3.7^2=OD^2+OB^2 \end{gathered}$