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10-08-2020
Mathematics

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find the area of a rhombus with a 120 degree angle and sides 10 cm

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unicorn3125 unicorn3125

11-08-2020

Answer:

A = 50√3 cm²

Step-by-step explanation:

[tex]A=s^2\cdot \sin\alpha\\\\s=10\\\alpha=120^o\\\\A=10^2\cdot\sin(120^o)=100\sin(180^o-60^o)=100\sin(60^o)=100\cdot\frac{\sqrt3}2=50\sqrt3[/tex]

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