Afloor tile is a regular hexagon with 6-inch sides and area of 93.5 square inches. to fit against a wall, one tile must be cut in half as shown below. what is the length of the vertical cut? round your answer to the nearest tenth.

10.4

Step-by-step explanation:

If you slide the cut left or right so that it is the long leg of a right triangle with short leg 6", you find that right triangle is a 30°-60°-90° triangle. The length of the cut is √3 times the length of the short leg, so is ...

... 6√3 in ≈ 10.3923 in ≈ 10.4 in

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.