Question

side of a
rhombus is 20cm and one of its diagonal is24cm
find the area and also find the other
diagonalof the rhimbus

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Answer 1

Answer:

The RAT has its hypotenuse as 20 cm and one side as 24/2 = 12 cm. So the other side of the RAT is [20^2–12^2]^0.5 = [(20+12)(20–12)]^0.5= [32x8]^0.5 = 16 cm.

The second diagonal is thus 16x2 = 32 cm. Hence the area of the rhombus is = d1xd2/2 = 24x32/2 = 384 sq cm.

Step-by-step explanation:

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Answer 2

Answer:

The area of the rhombus is

Given:

One side of a rhombus = 20cm and one diagonal = 24 cm

To Find:

The area of a rhombus

Solution:

In the rhombus ABCD,  

Let, AB = 20 cm  

And AC = 24 cm

From the diagram,

AO + CO = 24 cm  

AO = 12 cm  [∵ AO = CO]      

In  

AB = 20 cm and AO= 12 cm

Using Pythagoras Theorem,

Hence, BO = DO = 16 cm

∴ BD = 16 cm + 16 cm = 32 cm.

Area of a Rhombus