A point is randomly selected from the interior of the square pictured here: A square has its four vertices marked as A, B, C, and D. Side AD is labeled 1 foot length. Let denote the distance from the lower left-hand corner to the selected point. What are possible values of

Question:

A point is randomly selected from the interior of the square pictured here: A square has its four vertices marked as A, B, C, and D. Side AD is labeled 1 foot length. Let x denote the distance from the lower left-hand corner to the selected point. What are  values of x?

x = (0 to √2)

Step-by-step explanation:

Given:

Sides of a square labeled A, B, C, D

AD = 1 foot

Let x = distance from the lower left-hand corner to the point selected.

Since, it is a square, all sides are equal.

AB = 1 ft, BC = 1ft, CD = 1ft, AD = 1 ft

Since x is the distance from the lower left-hand corner to the selected point, here the lower left hand corner is point C.

Find the possible values of x.

C² = 1² + 1²

C² = 1 + 1

C² = 2

Take square root of both sides

√C² = √2

C = √2

Therefore, the possible values of x ranges from  0 to √2

X can be said to be continuous