Question

5. The lengthof the diagonal of a rhombus are 16cm and 12cm. The length of the each side of the
rhombus is
(b) 9cm
0) Tom
(d) 12 cm​

Answer 1

Answer:

10

Step-by-step explanation:

hope it helps.....

thank you

Answer 2

Answer:

Length of each side of Rhombus = 10 cm

Step-by-step explanation:

Given :

Length of a diagonal of a rhombus = 16 cm

Other diagonal = 12 cm

To find :

The length of each side

Concept :

So , first the length of OA and OB .

So , OA = $\sf{\dfrac{1}{2}\times16cm=8cm}$

And , OB = $\sf{\dfrac{1}{2}\times12cm=6cm}$

After that to find the length of the side of the diagonal use this equation -:

$\boxed{\sf{{AB}^{2}={OA}^{2}+{OB}^{2}}}$

Solution :

$:\implies\sf{{AB}^{2}={8cm}^{2}+{6cm}^{2}}$

$:\implies\sf{AB=\sqrt{(8cm\times8cm)+(6cm\times6cm)}}$

$:\implies\sf{AB=\sqrt{64cm+36cm}}$

$:\implies\sf{AB=\sqrt{100cm}}$

$:\implies\sf{AB=10cm}$

So , the length of each side of the rhombus is 10 cm .