if an error is 1.5% is made in measuring the side of an equilateral triangle. find the percentage error made in computed area
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Step-by-step explanation:
Area of equilateral triangle A=
4
3
x
2
dx
dA
=
2
3
x
Given, percentage error in measuring side =k%
⇒
x
Δx
=
100
k
⇒Δx=
100
kx
Now, approximate error in measuring A=dA=(
dx
dA
)Δx
=
100
k
2
3
x
2
=2k% of A
Percentage error in measuring A=2k
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