Question

.The diagonals of a rhombus are 16 cm and 12 cm long. Calculate the length of its sides.

Answer 1

Answer:

10cm

Step-by-step explanation:

diagonal, d₁ = 16cm

     d₁/2       = 8cm

diagonal, d₂ = 12cm

     d₂/2       =6cm

when we consider, the half of two diagonals and a side as a triangle,

we get, base =   d₁/2 = 8cm

       altitude =   d₂/2 =6cm

hypotenuse = one side

hypotenuse² = base² + altitude²

     side²       = 8² + 6²

                    = 64 + 36

                    = 100

     side         = √100

                    = 10 cm

In a rhombus sides are all equal, SO all sides are 10cm long.

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