To find the length of the diagonal of the square, we need to find the distance between points A and C.
Using the Pythagorean Theorem, we can find the length of the diagonal.
The Pythagorean Theorem is given by: c^2 = a^2 + b^2
Where c represents the length of the hypotenuse (diagonal) and a and b represent the lengths of the other two sides.
In this case, the side lengths are AC = 2 units (the difference in y-coordinates of points A and C) and AD = 2 units (the difference in x-coordinates of points A and C).
Plugging these values into the Pythagorean Theorem equation, we get:
c^2 = 2^2 + 2^2
c^2 = 4 + 4
c^2 = 8
Taking the square root of both sides, we find:
c = √8
Rounding to the nearest hundredth, the length of the diagonal is approximately 2.83 units.
Therefore, the correct answer is:
2.83
Use the image to answer the question.
A graph shows quadrant 1 with the x-axis and y-axis ranging from 0 to positive 5. Data points marked are point A at left parenthesis 1 comma 2 right parenthesis, point B at left parenthesis 3 comma 2 right parenthesis, point C at left parenthesis 3 comma 4 right parenthesis, and point D at left parenthesis 1 comma 4 right parenthesis. A line joins points A to B, B to C, C to D, and D to A, forming a rectangle.
Apply the Pythagorean Theorem to find the length of the diagonal of the square. Round your answer to the nearest hundredth, if necessary.
(1 point)
Responses
8
8
4
4
2.83
2.83
4.24
4.24
1 answer
1 answer