Question

Help meeee!

Write your own real-world scenario where the Pythagorean Theorem can be applied to find a missing piece. You may choose to write a problem that is two- or three-dimensional in nature. Be sure that you will be able to draw a diagram of your scenario.

Write out your problem and submit it for Part 1. Be sure to end your scenario with a question.

Answer 1

Supposed that you needed to know the diagonal distance from opposite corners of a rectangular prism.

d^2=x^2+y^2+z^2 where x, y, and z are the dimensions of the prism, or rectangular "box"

If the box has a width of 10, depth of 20, and a height of 30 then you have:

d^2=100+400+900

d^2=1400

d^2=100*14

d=√(100*14)

d=10√14 units

d≈37.42 units (to nearest hundredth of a unit)

You might need this information to determine the most amount of space necessary to allow this box to pass through in any orientation...as the diagonal is the maximum dimension of the box.

I did a three-dimensional problem as the Pythagorean Theorem is often used only for two-dimensional problems in early mathematics.