Question

While taking an online pretest for an algebra class, the distance formula was displayed as shown below.



Even though Logan had never seen the formula before, he knew the formula had rendered incorrectly. How did he know there was an error?
A.
The calculated distance would be in square units instead of cubic units.

B.
The calculated distance would be in cubic units instead of square units.

C.
The calculated distance would be in square units instead of linear units.

D.
The calculated distance would be in linear units instead of square units.

Answer 1

The calculated distance would be in square units instead of linear units.

Answer: Option C.

Explanation:

The Distance Formula itself is actually derived from the Pythagorean Theorem. This is the formula where c is the longest side of a right triangle (also known as the hypotenuse) and a and b are the other shorter sides (known as the legs of a right triangle).

The distance formula is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points.

Answer 2

Answer:

C The calculated distance would be in square units instead of linear units.

Step-by-step explanation:

Distance is measured in linear units.

With the way the formula is written, the distance would be in square units.

Therefore, Logan could tell there was an error because the calculated distance would be in square units instead of linear units.