Answer:
DF = 20.4
Explanation:
The figure given is a kite.
A kite has two set of opposite sides that are congruent. And the diagonals bisect each other. Thus,
∆DEH is congruent to ∆FEH, therefore, DH = HF
Use pythagorean theorem to find DH:
DH² = DE² - EH²
DH² = 15² - 11²
DH² = 104
DH = √104
DH = 10.2 (nearest tenth)
DF = 2(DH)
DF = 2(10.2)
DF = 20.4