Use the image to answer the question.

An illustration shows a 3 D cube with the bottom four vertices labeled upper A, upper B, upper C and upper D. Three of the top vertices are labeled upper E, upper G and upper H. The length, width, and height of the cube are labeled lower x. A dashed diagonal line runs along the base of the cube from the bottom right corner to the opposite end and is labeled lower a. A second dashed diagonal line, labeled lower d, starts at the same bottom right corner and goes to the opposite end at the top of the cube. These two dashed lines form a triangle with the back left side of the cube.

Apply the Pythagorean Theorem to determine the correct formula for finding the length of the diagonal of the cube.

(1 point)
Responses

x2+x2+x2−−−−−−−−−−√
Start Root x squared plus x squared plus x squared end root

a2−x2−x2−−−−−−−−−−√
start root a squared minus x squared minus x squared end root

d2−x2−x2−−−−−−−−−−√
start root d squared minus x squared minus x squared end root

a2+x2+x2−−−−−−−−−−√
start root a squared plus x squared plus x squared end root
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1 answer

The correct formula for finding the length of the diagonal of the cube is:

start root x squared plus x squared plus x squared end root
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