Atent forms an equilateral triangular prism, with both triangular faces exposed. each side of the triangular face has a length of 196 cm, and the tent is 250 cm long. what is the height, in centimeters, of the tent?

Step-by-step explanation:

By the description in the problem of the tent, there are 3 rectangle faces are faces, one is the floor and the other two are formin the ceiling. This means the height of the tent can be calculated from the information of the triangular faces.

Each side of the triangle is 196 cm, if we divide the equilateral triangle into two rights triangles with a base of 196/2=98cm and a hypotenuse of 196 cm, the side missing is the height of the original equilateral triangle and also the height os the tent. Using the Pitagora's theorem:

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'.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)