Question

Quadrilateral ABCD is a rhombus with an area of 20 square inches.

Diagonal AC is 10 inches long. What is the length of BE?
A
4 in.
B
5 in
2 in.

Answer 1

area of rhombus =1/2 d1×d2

20=1/2 ×10×d2

d2=4

intersection of diagonal make right angle and cut in equal parts

d1/2=10/2=5

d2/2=4/2=2

use Pythagoras in right angle to bide side

side^2= 5^2 +2^2

side = √29