Question

The length of the diagonals of a rhombus are 16 cm and 12 cm respectively. The perimeter of the rhombus in cm is

Answer 1

Answer:

The length of the two diagonals of a rhombus = 16 cm and 12 cm respectively.

The rhombus have right angle formed between its diagonals.

Then a rt Δ will form there.

Then the two sides of the right triangle will be 8 cm and 6 cm respectively.

Using Pythagoras property,

⇒A²+ B² = C²

⇒6² + 8² = C² [ it's one side]

⇒36 + 64 = 100

⇒100 = 10²

Then each side of the rhombus is 10 cm.

Then the perimeter of the rhombus is

⇒10 x 4 = 40 cm.

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