Question

if the diognals of a rombus are 12cm 16cm find the lengths of side ​

Answer 1

Answer:

10cm.Plz mark me as the brainliest and thank me

Step-by-step explanation:

One diagonal is 16 and another 12 then half of both is 8and6.diagonal of rhombus bisect at 90'

By pythogaurus theorem

8²+6²=h²

64+36=100

Side = 10

Answer 2

Answer:

$\boxed{10 cm}$  

Step-by-step explanation:

Given:

Diagonals of the Rhombus = 12cm and  16cm

To find:

The length of the side of the Rhombus. = ?

For Information:

• In a rhombus, diagonals bisect each other at right angles.

• All sides of the rhombus are equal.
• The sum of two adjacent angles is equal to 180 degrees

Solution:

FROM THE FIGURE,

$AC^{2} = AB^{2} + BC^{2}$

⇒$AC^{2} = 8^{2} + 6^{2}$

⇒$AC^{2} = 64 + 36$

⇒$AC^{2} = 100$

⇒$AC= \sqrt{100}$

⇒$AC = 10cm$

∴The lengths of side  of the Rhombus = $\boxed{10 cm}$  

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