What is the length of the diagonal, ddd, of the rectangular prism shown below?
Round your answer to the nearest tenth.

≈ 9.6 units

Step-by-step explanation:

Refer to attachment

The diagonal d is the hypotenuse of right triangle with sides of 5 and a

The line a is the hypotenuse of the right triangle with the sides of 2 and 8.

So, as per Pythagorean theorem:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.