The right-triangle or the right-angled-triangle, meaning a triangle that has as one of its angels, the angle 90o.
His famous theorem is that
"the sum of the squares of the length of the two sides forming the right-angle is equal to the square of the length of the side opposite the right-angle"
It is better put as
h2 = a2 + b2
where
h = hypotenuse (the side opposite the right-angle) and
a = one of the two sides making the right-angle and
b = the other of the two sides making the right-angle
What he found far more interesting was the property of some specific examples of this triangle, e.g.
A triangle with sides 3 and 4 would have a hypotenuse of 5
i.e. 32 + 4 2 = 5 2 (9 + 16 = 25)
He further found that any right-angled triangle that had whole multiples of these sides followed the same pattern; e.g:
A right-triangle with sides of 6 and 8 would have a hypotenuse of 10 (36 + 64 = 100),
A right triangle with sides of 9 and 12 would have a hypotenuse of 15 (81 + 144 = 225)
A right-triangle with sides of 12 and 16 would have a hypotenuse of 20 (144 + 256 = 400)
and so on
The answer depends on what ratio of the triangle you are interested in.
A scalene triangle
Pythagoras was interested in triangles when he found out that for any right angle triangle that when its hypotenuse is squared it is equal to the sum of its two squared sides.
It isn't. The Bermuda Triangle is a made-up mystery; you are no more likely to vanish there than any other piece of ocean... or you can bet the insurance companies would forbid travel in the danger zone. If you are really interested in how the Bermuda Triangle Hoax got started, there's a book called "The Bermuda Triangle Mystery-Solved" by Larry Kusche.
I am guessing you are interested in triangles. Here are two false triangle congruence theorem conjectures.1, If the angles of one triangle are equal respectively to the angles of another triangle, the triangles are congruent. ( abbreviated AAA).2. If two sides and one angle of a triangle are equal respectively the two sides and one angle of another triangle, the triangles are congruent. (abbreviated SSA)Comment: Draw triangles with pairs of equal sides but in which the included angle between the equal sides is acute in one case and obtuse in the others.
any triangle is a triangle
If a triangle is obtuse, the orthocenter of the triangle actually lies outside of the triangle. If the triangle is acute, the orthocenter of the triangle lies on the inside of the triangle
Yes, a scalene triangle can be a triangle.
A triangle can be constructed into any of the given formats.
acute angled triangle,right angled triangle,obtuse angled triangle,isosceles triangle,equilateral triangle, scalene triangle
A scalene triangle, an equilateral triangle, an isosceles triangle and a right-angle triangle, acute-angled triangle, obtuse-angled triangle
a triangle in a triangle