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?
Answer:
x = (0 to √2)
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