Calculate the area of a rhombus if its side is 12cm, and one of the corners is 45 °.
| April 27, 2021 | education
The area of a rhombus can be calculated using the following formula: S = (a ^ 2) * sin (alpha),
where: a is the length of the rhombus side; sin (alpha) – sine of an angle.
1) Calculate the area of the rhombus:
S = (12 ^ 2) * sin (45 °) = 144 * (√ (2): 2) = 72 * √ (2) cm ^ 2 is the area of a rhombus.
ANSWER: The area of a rhombus is 72 * √ (2) square centimeters.
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