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Digiron [165]
3 years ago
9

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

Mathematics
1 answer:
LenKa [72]3 years ago
7 0

Answer:

16 * √3 cm² or approximately 27.71 cm²

Step-by-step explanation:

Given the 8 cm length of the diagonal and the 30° (π/6 radians) angle with one of the sides, we can calculate the width and height of the rectangle using:

8 * cos(π/6) = 8 * ((√3)/2) = 4 * √3

8 * sin(π/6) = 8 * (1/2) = 4

Multiply those two values together to get the area and you get

16 * √3 cm²

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