Question

The quadrilateral ABCD has an area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.

Answer 1

BD = 8 in.

Explanation:

Answer 2

So the quadrilateral is a rhombus. RSM Is hard and etc...
Anyways if the area =
`58^(2)` and we know that one diagonal is 14.5 inches and we know that the area of a rhombus is

`(D^(1) * D^(2))/(2) =`
then we can do inverse operation and do

`(54)/(14.5) = 4`
4 * 2 because of the inverse operation has to be done to get the right answer and then you get the length of diagonal 2 is 8 in