Question

Side of an equilateral triangle is measured as 3.6+ or -0.06cm, find percentage error in area of triangle

Answer 1

Given ,

side of equilateral Δ = 3.6 ± 0.06 cm

We know that , the area of equilateral triangle is given by

$\boxed{ \tt{Area = \frac{ \sqrt{3} }{2} \times {(a)}^{2} }}$

So ,

$\boxed{ \sf{ \frac{ \Delta Area}{Area} = 2 \frac{\Delta a}{a} }}$

Thus , percentage error in area of triangle will be

$\tt \implies 2 \times \frac{0.006}{3.6} \times 100$

$\tt \implies \frac{2}{6}$

$\tt \implies 0.33 \: \%$

The percentage error in area of triangle is 0.33 %