The measure of a side is the length it possess. The measure of PR for the given rectangle is given by: Option B: 37.12 units.
What is Pythagoras Theorem?
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
For the given case, we can use the fact that opposite side of a rectangle are of same length, and one more fact that all the adjacent side pairs of a rectangle are perpendicular to each other(means the minor angle between them is of 90 degrees).
The question is missing the figure, which is attached below.
Since PQRS is a rectangle, thus, we have:
|PS| = |QR| = 17 units
|PQ| = |RS| = 33 units
Thus, for the triangle PSR, as angle S internally is of 90 degrees, we can use Pythagoras theorem.
From Pythagoras theorem for PSR, where PR is hypotenuse, we get:
[tex]|PR|^2 = |PS|^2 + |SR|^2\\\\|PR| = \sqrt{17^2 + 33^2} = \sqrt{1378} \approx 37.12[/tex] units.
(positive root was taken as length is a non-negative quantity).
Thus, the measure of PR for the given rectangle is given by: Option B: 37.12 units.
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
