Question

In a rhombus ABCD , diagonals AC and BD are respectively 8cm and 6cm , the length of each side of rhombus is

Answer 1

Answer:

5 cm is a answer ok

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Answer 2

Answer:

The length of each side of given rhombus will be equal to 5cm.

Step-by-step explanation:

Let's draw a rhombus ABCD in which AC and BD are the diagonals of the rhombus.

We know that in a rhombus the diagonals are perpendicular to each other.

The length of diagonal AC = 8cm

The length of diagonal BD = 6cm

Consider that O is the point of intersection of two diagonals.

Therefore, $OC=OA=\frac{AC}{2}=\frac{8}{2} =4cm$

and, $OB=OD=\frac{BD}{2}=\frac{6}{2} =3cm$

In the right angled triangle AOD, apply the Pythagoras theorem:

AD² = OD² + OA²

AD² = (3)²  + (4)²

$AD=\sqrt{9+16}$

$AD= \sqrt{25}$

$AD= 5cm$

Therefore, the each side of rhombus ABCD will be 5cm.