The lengths of two sides of a right triangle are 5 inches and 8 inches. what is the difference between the two possible
lengths of the third side of the triangle? round your answer to the nearest tenth.
3.1 inches
3.2 inches
10.0 inches
15.7 inches

Option 2 - 3.2 inches.                      

Step-by-step explanation:

We have given that the lengths of two sides of a right triangle are 5 inches and 8 inches.

We have to find what is the difference between the two possible  lengths of the third side of the triangle?

Solution :

The lengths of two sides of a right triangle are 5 inches and 8 inches.

Applying Pythagoras theorem,

Where, z is the hypotenuse the longer side of the triangle

x is the perpendicular

y is the base are the shorter side of the triangle

We have assume that z=8 inches and y = 5 inches

Substitute the value in the formula,

We have assume that x=8 inches and y = 5 inches

Substitute the value in the formula,

Therefore, The possible length of the third side of the triangle is

Therefore, The difference between the two possible  lengths of the third side of the triangle is 3.2 inches.

Hence, Option 2 is correct.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.