Use the extended Euclidean algorithm to express gcd(144, 89) as a linear combination of 144 and 89.What is the inverse of 89 mod 144? What is the inverse of 144 mod 89?

The correct answer is first option 60%

Step-by-step explanation:

The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3

To find the area of equilateral triangle

Here side be 'a'

Area of equilateral = √3a²/4

To find the area of circle

Here radius = a/2√3

Area = πr²

 = π(a/2√3)

 = 3.14a²/12

To find the probability

probability = area of circle/area of triangle

   = 3.14a²/12/ √3a²/4

   = 3.14/3√3

   = 0.6043 ≈ 60.43 %  60 %

The correct answer is first option 60%