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  • 13-05-2020
  • Mathematics
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The area of a rhombus is 65 square units.The length of one diagonal is 13 units.What is the length of the other diagonal.

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 13-05-2020

Answer:

10 units

Step-by-step explanation:

recall that the area of a rhombus is half the product of the length of its diagonals. i.e

Area of Rhombus = (1/2) (length of diagonal 1) x (length of diagonal 2)

in our case, we are given:

Area of Rhombus = 65 units²

length of diagonal 1 = 13 units.

Hence substituting the above values into the formula:

Area of Rhombus = (1/2) (length of diagonal 1) x (length of diagonal 2)

65 = (1/2) (13) x (Length of diagonal 2)

Length of diagonal 2 = (65 x 2 ) / 13 = 10 units

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