If the numbers that represent the lengths of the sides of a right triangle were
not squared, then the statement would not be true.
Coincidentally, Pythagoras did have a brother-in-law ... Murray ... who was
also something of a math buff. Murray published a paper ... well, in those days,
"publish" meant copying your ideas down by hand onto 75 or a hundred pieces
of parchment, and nailing them all up on trees around your neighborhood ... but
Murray figured out that if you had any triangle, with sides labeled 'a', 'b', and 'c',
then the lengths were related by the equation [ a + b = c ]. Exactly the same
formula as his brother-in-law's, but in Murray's equation, nothing was squared.
This story is just to show you what can happen if your work is careless and
inadequately researched. All of the land surveyors in Murray's town immediately
began to use his equation, to cut down on the volume of work required on two
new big contracts that they had just landed ... one to lay out plots for the entire
olive industry in Pelloponesia, and the other to mark out the foundations for a
whole new subdivision of condos and apartment buildings in Troy, the next
city over. Well, if you know your history, then you're way ahead of us. Murray's
formula was a disaster, the land surveyors totally screwed up everything they
touched, the Pelloponesians were so riled up that they touched off a series of
wars, and the developers from Troy, having taken a bath and lost a bundle,
headed across the bay to yell and holler on Murray, but they were not
accustomed to the cold maritime climate in Murray's town so as soon as they
arrived they all became hoarse. In any event, the whole project was a total
disaster as we said. In later years, it was discovered that Murray's equation
[ a + b = c ] was true only for isosceles triangles with base angles of zero.
But the damage was done. Greece was never anything more after that than a
lame early John Travolta vehicle and a failed economy, and nobody ever heard
of Murray again. And that's what can happen if you use Pythagoras' equation
but you don't square your numbers.
In the Pythagorean Theorem b is not twice a. The formula is [ a squared + b squared = c squared].
it is asquared +b squared = c squared
Pythagoras' theorem states that for any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides.
Pythagoras' theorem states that for any right angle triangle that its hypotenuse when squared is equal to the sum of its squared sides.
Pythagoras' theorem states that for any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides.
In the Pythagorean Theorem b is not twice a. The formula is [ a squared + b squared = c squared].
a squared + b squared=c squared
it is asquared +b squared = c squared
Pythagoras' theorem states that for any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides.
a2 + b2 = c2 a = a leg of the triangle, b = the other leg of the triangle, and c = the hypotenuse
Pythagoras' theorem states that for any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides.
No, the pythagorean theorem only works on right triangles, but it will work on any right triangle. This is because the Pythagorean Theorem states that length of Leg A squared plus the length of Leg B Squared equals the length of the hypotenuse squared. A hypotenuse is always found opposite a right angle. Only right triangles have right angles; therefore, the Pythagorean Theorem only applies to right triangles. :D
2.5 + 3.4 Pythagorean Theorem?
Pythagoras' theorem is applicable to any right angle triangle and states that when its hypotenuse is squared it is equal to the sum of its squared sides.
Pythagoras' theorem states that for any right angle triangle that its hypotenuse when squared is equal to the sum of its squared sides.
Pythagoras' theorem states that for any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides.
the easiest thing to know it A squared + B squared = C squared