find the area of the Rhombus whose one side measures 5 cm and one diagonal as a let ABCD be a rhombus as shown below.
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Step-by-step explanation:
We know that all the sides of a Rhombus are equal.
Therefore AD=AB=BC=CD
AB= 5cm
Thus, AD , BC and CD = 5cm
In this Rhombus we can see 2 triangles ADB and DCB
We also know that the diagonals of a Rhombus intersect at equal angles
Thus angle AOB , BOC , COD and AOD = 90°
To find height AO
AB^2= AO^2 + BO^2
5^2= AO^2 + 4^2
25= AO^2 + 16
AO^2 = 25-16
AO=√9
AO=3cm
Area of triangle ADB
Area= 1/2 x base x height
Area= 1/2 x 8 x 3
Area= 4x3
Area=12cm^2
Similarly
OC = 3cm(by the above method I used to find AO)
Area of triangle ACB
Area=1/2 x base x height
Area= 1/2 x 8 x 3
Area= 4x3
Area=12cm^2
Total area will be
12 +12 => 24cm^2
Hope it helps
Answered by
3
Answer:
soo thanks de diye hai mene
❣️_____have a nice day____❣️
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