The side of a rhombus are 13cm long if one diagonal is 24cm.what is the area of the rhombus?
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Digonal oF a rhombus bisect each other at 90 °
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Step-by-step explanation:
Side = 13 cm
Diagonal = 24 cm
Area of rhombus = 1/2 * d1 * d2
Diagonal = 24 cm
In a rhombus, there are 4 right angled triangles.
the side becomes the hypotenuse. the diagonals become half in each.
Diagonal 1 = 12 cm, hypotenuse = 13 cm
diagonal 2 = √(13² - 12²) = √169-144 =√25 = 5 cm
Diagonal 2 actual length = 5 cm *2 = 10 cm
Area = 1/2 * d1*d2 = 1/2 * 24 * 10 = 120 cm²
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