Respuesta :

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Answer:

[tex]\large\boxed{d_2=15\ cm}[/tex]

Step-by-step explanation:

The formula of an area of a kite:

[tex]A=\dfrac{d_1d_2}{2}[/tex]

d₁, d₂ - diagonals

We have A = 120 cm² and d₁ = 16 cm. Substitute:

[tex]\dfrac{16d_2}{2}=120[/tex]

[tex]8d_2=120[/tex]           divide both sides by 8

[tex]d_2=15\ cm[/tex]