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13-08-2020
Mathematics

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A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of the rectangle

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13-08-2020

Answer: =16*√3 cm²

Step-by-step explanation:

As the diagonak AC of rectangle ABCD= 8 cm and angle CAD=30° we can write

AD=AC*cos30°= 8*√3/2=4*√3

AB=CD=AC*sin30°=8*1/2=4

So the area of rectangle is

S= AB*AD=4*4*√3=16*√3 cm²

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