82.1k views
3 votes
Find BD if AC = 47 yards

Find BD if AC = 47 yards-example-1

1 Answer

3 votes

9514 1404 393

Answer:

21 yards

Explanation:

The area of a quadrilateral with diagonals that are right angles to each other is given by ...

A = (d1)(d2)/2 . . . . where d1 and d2 are the lengths of the diagonals

493.5 yd² = (47 yd)(BD)/2 . . . . . . . . . . fill in the given information

Dividing by the coefficient of BD, we have ...

(2)(493.5 yd²)/(47 yd) = BD = 21 yd

User Sebastian Breit
by
4.3k points