Question

Find the length of each side of an equilateral triangle having an area of 169√3cm²

Answer 1

Answer:

equilateral traingle area= ✓3/4*side2

here 169✓3= ✓3/4 a2

169*4=a2

13*2=a

a=26

i.e side of equilateral traingle

a=26

Answer 2

Answer:

$\sqrt{ \frac{3}{4} } {a}^{2 } = 169 \\ {a}^{2 } = 169 \sqrt{3 } \times \frac{2}{ \sqrt{3} } \\ = \sqrt{338}$

i hope this will help you