Question

The diagonals of rhombus ABCD intersect at point E. The area of ABCD is 168 in^2 If ED = 8 inches, find AC.

A. 16 inches
B. 21 inches
C. 24 inches
D. 42 inches

Answer 1

Area of Rhombus =
`((diagonal 1) * (diagonal 2))/(2)`

Diagonal DB = 2×8 = 16

To find AC, we substitute into the formula the area 168 in² and DB of 16 in

Area =
`(DB*AC)/(2)`

`168= (16*AC)/(2)`

`336=16*AC`

`AC= (336)/(16)=21` inches

Answer: B