Question

the lengths of the diagnols AC and BD of a rhombus are 6cm and 8cm respectively. find the length of each side of a rhombu​

Answer 1

Answer:

5 cm

Step-by-step explanation:

Diagonals of rhombus bisect each other at 90°. It means half of one diagonal and half of another makes a right angled triangle with the side and right angle is situated at the intersection of those diagonals.

  Using Pythagoras theorem :

⇒ half of 1st diagonal^2 + half of 2nd diagonal^2 = side^2

⇒ ( 6/2 cm )^2 + ( 8/2 cm )^2 = side^2

⇒ ( 3 cm )^2 + ( 4 cm )^2 = side^2

⇒  9 cm^2 + 16 cm^2 = side^2

⇒ 25 cm^2 = side^2

⇒ 5 cm = side

Answer 2

Answer:

length of each side is 5 cm

Step-by-step explanation:

diagonals of a rhombus are perpendicular bisector of each other

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