It gained its fame in 1945 when the historian of ancient science Otto Neugebauer recognized the sexagesimal (base - 60) numbers for what they really were: a table of «Pythagorean triples» — the integer lengths of the sides and
hypotenuses of right triangles.
To take a simple example, I believe that the square on
the hypotenuse of a right - angled triangle is equal to the sum of the squares of the other two sides — but it makes no difference to me.
The Pythagorean Theorem, for instance: A squared plus B squared = C squared, where C is the length of
the hypotenuse of a right angle triangle «works» — using your term — regardless of the knowledge or bias of any scientist.
The square of
the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Now drop an imaginary plumb line from the top of the rope, and the big triangle can be divided into two smaller and equal right triangles, each with
a hypotenuse of 180.5 feet and sides of 180 feet and h feet.
The hypotenuse of a right triangle is not always the shortest distance between the two points that define it
Not exact matches
That means that AC is the
hypotenuse and BC is one
of the sides.
The length
of the Vietnam War Memorial «
hypotenuse» is about 133 meters.
The lesson was that the square
of the
hypotenuse, or longest side, is equal to the sum
of the squares
of the other sides.
Perform the primordial Pythagorean prestidigitation (the sum
of the squares
of the two sides
of a right triangle equals the square
of the
hypotenuse), and you'll find that the one - foot - longer rope can be lifted high enough for even the most gigantic lineman to trundle under, more than 13 feet off the ground.
Begin with a «half - domino» prototile, a right triangle
of sides 1 and 2 units (whose
hypotenuse is √ 5 units).
Indeed, no less a thinker than Pythagoras, he
of hypotenuse fame, logged some impressive early results.
The name is derived from Pythagoras» theorem
of right - angle triangles which states that the square
of the
hypotenuse (the diagonal side opposite the right angle) is the sum
of the squares
of the other two sides.
(The theorem: The square
of the
hypotenuse equals the sum
of the square
of the other two sides.)
This is the 2nd lesson on Pythagoras that follows on from lesson one, by building on the understanding
of what Pythagoras discovered and finding the
hypotenuse to also finding the shorter side.
The second problem involves students finding the length
of a side
of an right angled isosceles triangle given only the
hypotenuse and then they have to find the area.
Problems include sin, cos, and tan, as well as finding the a variety
of missing sides, including the
hypotenuse, adjacent and opposite side.
Bundle includes lessons on: Circumference
of circles, Area
of circles, Finding arc length, Area
of sectors, Calculating angles, Angles in triangles, Angles in quadrilaterals, Angles on parallel lines, Converting between units
of measure, Perimeter and area, Area and perimeter
of triangles, Area
of parallelograms and trapeziums, Introduction into Pythagoras - finding t length
of a
hypotenuse, Finding the length
of a shorter side in a right angled triangle using Pythagoras, To use Pythagoras in 3D shapes, Recognising similar shapes, Finding the area
of similar shapes, Finding volume
of similar shapes, Reflection, Translation, Rotation, Consolidation
of transformations, Volume and surface area
of cuboids, Volume
of cones, pyramids and spheres, Volume
of other shapes, Surface area
of prisms, Surface area
of cylinders, Surface area
of cones and spheres, Surface area
of cones using Pythagoras!
If you know the length
of a right - angle triangle's
hypotenuse (c) and the ratio between its sides (a and b), you can work out the lengths
of those sides and, consequently, the area
of the rectangle within which that triangle resides.
But it's important to note that potential tenants do not decide on which property they are going to rent by plugging the amenities and specs into a spreadsheet and running a logarithmic, covariate algorithm that takes the least - squares regression
of the
hypotenuse to determine the best value.