Question

The long diagonal of a kite ABCD is BD. BD = 10m. The short diagonal is AC. AC = 6m. The diagonals intersect at point E. Based on the given information, which of the following is true? Select all that apply.

∠AEB = 90°
∠ABE = 90°
AE = 3m
BE = 5m
Point E is the midpoint of AC

Answer 1

< AEB=90 ( diagonals are _|_ )
AE=3 cm
BE=5 cm
Point E is the midpoint of AC

Answer 2

Option 1, Option 3, Option 4 and Option 5.

Explanation:

Long diagonal of a kite ABCD is given as BD = 10m

Short diagonal AC = 6 m

Diagonals intersect at point E. We have to select the options given, are true.

In two similar triangles ΔABE and ΔBCE

∠AEB = 90°

AE = 3m

BE = 5m

Point E is the midpoint of diagonal AC.