WILL MARK BRAINIEST!! Analyze the diagram below and complete the instructions that follow.
3
V
5
Find the unknown side length, x. Write your answer in simplest radical form.
A. 4
B. V65
C. 11
D. 5 V13

B √65

Step-by-step explanation:

the triangle on the right

3²+x²=5²

9+x=25

25-9+=16

√16=4

now plug that into the triangle on the left

4²+7²=x²

16+49=x

16+49=65

√65 is the answer

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.