Answer :

Answer:

DF = 20.4

Step-by-step 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

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