Triangle, Pythagoras Theorem, Square

   Triangle 

Triangle Facts

• The sum of all the internal angles of a triangle is always 180o no matter how the triangle is constructed.

• The length of any side of a triangle is shorter than the sum of the other two sides.

• A triangle can always be split into two right triangles no matter how the triangle is constructed.

• All triangles add up to 180°.

Right angle triangle

The right Triangle angle has one angle that is 90 degrees. The other two angles always add up to 90 degrees but can be different sizes. The longest side of a right-angle triangle is the hypotenuse.

Acute Angle

An acute angle is a triangle that has 3 acute ( less than 90 degrees) angles.

Obtuse Angle

An obtuse angle is a triangle that has one obtuse (greater than 90 degrees) angle. An obtuse angle is a type of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°.

Equilateral Triangle 

Equilateral triangles have all angles, some measure 60 degrees. All angles are acute angles. An equilateral triangle is a triangle in which all three sides have the same length.

Isosceles Triangle

A triangle with two sides of equal length is an isosceles triangle. The two equal sides of an isosceles triangle are known as 'legs' whereas the third or unequal side is known as the 'base'.

 

 

Scalene Triangle 

A scalene triangle is a triangle in which all three sides are in different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to 180 degrees.

 

Pythagoras's Theorem

what is Pythagoras theorem? a theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.

 

Who is Pythagoras theorem? There is concrete evidence that the Pythagorean Theorem was discovered and proven by Babylonian mathematicians 1000 years before Pythagoras was born. The purpose of this article is to plot a fascinating story in the history of mathematics. Nevertheless, the theorem came to be credited to Pythagoras. It is also proposition number 47 from Book I of Euclid's Elements. According to the Syrian historian Iamblichus (c. 250–330 ce), Pythagoras was introduced to mathematics by Thales of Miletus and his pupil Anaximander.

 

 

When was Pythagoras theorem invented?  The Pythagorean theorem was first known in ancient Babylon and Egypt (beginning about 1900 B.C.). The relationship was shown on a 4000-year-old Babylonian tablet now known as Plimpton 322. However, the relationship was not widely publicized until Pythagoras stated it explicitly.

 

Where was Pythagoras theorem invented?  First was known in ancient Babylon and Egypt.

 

How does Pythagoras theorem work? Pythagoras theorem states that for all right-angled triangles, 'The square on the hypotenuse is equal to the sum of the squares on the other two sides. The hypotenuse is the longest side and it's always opposite the right angle.

 

 

 

Square

What is square? Square, in geometry, a plane figure with four equal sides and four right (90 degrees) angles. A square is a special kind of rectangle ( an equilateral one) and a special kind of parallelogram ( an equilateral and equiangular one).    

What is a square root? a number that produces a specified quantity when multiplied by itself. Square root, in mathematics, a factor of a number that, when multiplied by itself, gives the original number. For example, both 3 and –3 are square roots of 9.

What is a prime number in the square? All square numbers have an odd number of factors. A prime number by definition has exactly 2 factors - 1 and itself. Therefore no prime number is a square and no square number is prime.

What are square numbers?  A square number is a result when a number has been multiplied by itself.