A rhombus having diagonals of length 10 cm and 16 cm, respectively. Find its area.
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Answered by
5
then the diagonals of a rhombus bisect each other perpendicularly.
so
Let’s take Triangle ABO (I am considering AC = 16 cm)
AB = 10 cm is the hypotenuse
AO = 8 cm (half of AC as diagonals bisect)
hence in the triangle ABO , using Pythagorean theorem ,
AO2+BO2=AB2
BO2+82=102
BO2+64=100
BO2=100−64==>36
√(BO2)=√36
BO = 6 cm
therefore diagonal BD=2∗BO
BD = 12 cm
hence area of rhombus = 1/2 * AC * BD
[1/2∗(16∗12)]cm2
96 cm^2
Answered by
6
Answer:
mt jao apko meri kasam hai
Step-by-step explanation:
nhi jaoge
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