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rhombus has diagonals of 30 and 16 find the perimeter

Guest Mar 29, 2017
 #1
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Fine, no one wants to answer. I'll answer my own question. The answer is 68 units.

Guest Mar 29, 2017
 #2
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Hey I want to answer!

 

 

perimeter = side + side + side + side

All the sides are congruent, so

perimeter = 4(side)

 

The diagonals bisect each other, so the legs of the little triangles are 16/2 and 30/2.

Use pythagorean theorem to find length of one side.

82 + 152 = side2

 √(289) = side

17 = side

 

Substitute.

perimeter = 4(17)

perimeter = 68

hectictar  Mar 29, 2017

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