Liam is debating whether to use a straightedge and compass or a computer or a computer a construction of a regular hexagon inscribed in a circle . which ! method do you think would take the longest to complete the construction and why ?

Using a straightedge and compass will take more time.

Step-by-step explanation:

Liam should use a computer program to draw the construction of a regular hexagon inscribed in a circle.

This is because, if this construction is done manually, he will have to measure the dimensions himself that is time taking and also not accurate.

But a computer program is more easy, quick and precise in calculations. You just have to enter numbers and the work is done quickly.

whats the

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240