hypotenuse

Example: This lamp post is 30 feet tall and casts a 50 foot shadow -- What is the hypotenuse?

Perhaps this is because the hypotenuse of a right triangle is the square root of 2?

What's surprising is that the hypotenuse is the thing that's the same for different observers.

I knew there some something with an opposite angle and a hypotenuse, and it only took me a minute or two.

Too late to edit, so I'll add this correction: replace "sum of the squares of the hypotenuse" with "square of the hypotenuse".

I thought it was tilted so you could get the maximum "tail" length in a smaller bounding box, because you are using the hypotenuse.

So length is the distance between # the points labelled s and f. Bisect the angle a you get a right # angle triangle with hypotenuse of length $unit and angle at the # vertex of $radians_in_curve/2.

", or "if I compute the hypotenuse of a triangle with Pythagoras theorem, then cut a piece of wood and measure it, will they match?

Considering a right triangle of height h and a much longer base, h must be quite large for the hypotenuse to be 6 m longer than the base.

You get the hypotenuse from using pythagoras' theorem.

If so, where?On the sheet of paper in front of me, as the hypotenuse of the isosceles right-angled triangle with unit length I drew a moment ago.

"Using cosine and sine and then Pythagorean theorem to get the length of the hypotenuse doesn't make sense - in order to get the length of the X and Y components with cosine and sine you need to already know the length of the hypotenuse.

Take a right triangle ABC, drop an altitude onto the hypotenuse, note the two smaller right triangles are similar to ABC, calculate the area of ABC in two different ways using this decomposition, and compare the results.