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The diagonals of a rhombus are 12cm and 16cm.find

i)the length of its one side

ii)its perimeter

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i)the length of its one side

ii)its perimeter

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The Brainliest Answer!

The 2 diagonals of the rhombus divides it into 4 congruent right angled triangles

Let us consider 1 triangle among them

We get the side 'x' as the hypotenuse n other 2 sides are equal to halves of 2 diagonals respectively.

therefore, one of its side = 6cm

another side = 8cm

From pythagoras theorem,

8² + 6² = x²

64 + 36 = x²

100 = x²

Therefore, x = 10cm

length of one of the side of the rhombus is 10cm

Perimeter of the rhombus = 4 × 10 = 40cm