Question

Three ballet dancers are positioned on stage. If Paula is 3 feet straight behind Deion and 4 feet directly left of Arianna, how far is Deion from Arianna? Pythagorean theorem

Answer 1

Answer: 5 feet

================================================

Step-by-step explanation:

I think it helps to draw out what is being described.

Refer to the diagram below

• A = Arianna's position
• P = Paula's position
• D = Deion's position

We have these segment lengths

• AP = 4
• PD = 3

which are the legs of the right triangle.

The goal is to find the length of segment AD, which is the distance from Arianna to Deion. This is the hypotenuse of the right triangle.

----------

Use the pythagorean theorem to get the following:

`a^2 + b^2 = c^2\\\\3^2 + 4^2 = c^2\\\\9 + 16 = c^2\\\\c^2 = 25\\\\c = √(25)\\\\c = 5`

The hypotenuse is 5 feet, which is the length of segment AD.

Therefore, the distance from Deion to Arianna is exactly 5 feet.