Question

A circle with centre o and radius 5 has been inscribed in an equilateral triangle abc.Find the perimeter of triangle abc

Answer 1

Answer:

30× sqrt(3)

Step-by-step explanation:

The side of equilateral triangle is 10× sqrt(3)

So the perimeter of equilateral triangle is 30× sqrt (3)

Answer 2

Answer:

$30\sqrt{3} cm.$

Step-by-step explanation:

Draw $AD$ ⊥ $BC.$

$O$ lies on $AD,$ and $OD=\frac{1}{3} AD.$

$OD=5cm.$

Therefore, $AD=15cm.$ Now, $BD=x$ and $AB=2x.$ Now, use Pythagoras' Theorem.