Theorem on Kites Consider kite KLMN on the right. 1. If LM = 6, what is MN? 2. If KN = 10.5, what is KL? 3. If LN = 7 cm and KM = 13 cm, what is the area? 4. If the area is 96 cm2 and LN = 8 cm, what is KM?

A kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other,

this applies  1 and 2

1. LM is adjacent to MN so they are equal,therefore MN=6 cm

2.KN is adjacent to KL,Therefore KL=10.5 cm

3.AREA

Area = 1/2*d1*d2  where d1 and d2 are the diagonals

d1=7 cm

d2=13 cm

A=0.5*7*13

A=45.5 cm2

Step-by-step explanation

4.KM

A=1/2*d1*d2

d2=A/(0.5*d1)

d2=96/(0.5*8)

d2=24 cm

KM=24 cm