Question

the area of outer circle of an equilateral triangle is 462 cm2 then what is the length of the side of the triangle ??​

Answer 1

Answer:

Side of equilateral triangle is 21 cm

Step-by-step explanation:

Given area of triangle = 462 $cm^{2}$

Area of triangle = $\pir^{2}$

Therefore $\pir^{2}$ = 462 $cm^{2}$

⇒r^{2}[/tex] = 462×$\frac{7}{22}$

⇒r^{2}[/tex] = 147

⇒r = 7√3 cm

also if x is side of triangle then radius of circumbing circle is $\frac{x}{\sqrt{3} }$

∴ r = $\frac{x}{\sqrt{3} }$

⇒7√3 = $\frac{x}{\sqrt{3} }$

⇒$\frac{x}{\sqrt{3} }$ = 7√3

⇒x = 7√3 × √3

⇒x = 7 × 3

⇒x = 21 cm

Hence side of equilateral triangle is 21 cm.