The side of the rhombus is 5, and the distance from the center of the rhombus to it is 2. Find the area of the rhombus.
| February 1, 2021 | education
The height OH, drawn from the center of the rhombus to the side, is the radius of the inscribed circle in the rhombus.
OH = R = 2 cm.
Let’s draw the height of the rhombus ВK from the top of rhombus B.
The height of the rhombus is equal to two radii of the circle inscribed in the rhombus. ВK = 2 * R = 2 * 2 = 4 cm
Determine the area of the rhombus.
S = a * h, where a is the side of the rhombus, h is the height of the rhombus.
S = AB * BK = 5 * 4 = 20 cm2.
Answer: S = 20 cm2.
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