Help me please I have this due in 20 minutes

Pythagorean Theorem: a^2 + b^2 = c^2

-A and B are the legs of the triangle

-C is the hypotenuse, the longest side

#10.

15^2 = ()^2 + b^2

225 = 50 + b^2

175 = b^2

b =

#11.

15^2 + 32^2 = 36^2

225 + 1024 = 1296

1249 does not equal 1296

This is not a right triangle.

#12.

8^2 + 15^2 = 17^2

64 + 225 = 289

289 = 289

This is a right triangle.

#13.

5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

This is a right triangle.

#14.

40^2 + 22.5^2 = c^2

1600 + 506.25 = c^2

2106.25 = c^2

c = 46 inches

#15.

15^2 + b^2 = 17^2

225 + b^2 = 289

b^2 = 64

b = 8 feet

Hope this helps!! :)

nothjing

step-by-step explanation:

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'.