What is Pythagoras THEOREAM with formula ........
Answers
Step-by-step explanation:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say x, y and z) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.
Pythagoras Theorem-Right Angle Triangle
Example
The examples of theorem based on the statement given for right triangles is given below:
Consider a right triangle, given below:
Pythagoras theorem Example
Find the value of x.
X is the side opposite to right angle, hence it is a hypotenuse.
Now, by the theorem we know;
Hypotenuse2 = Base2 + Perpendicular2
x2 = 82 + 62
x2 = 64+36 = 100
x = √100 = 10
Therefore, we found the value of hypotenuse here.
History
The theorem is named after a greek Mathematician called Pythagoras.
Pythagoras Theorem Formula
Consider the triangle given above:
Where “a” is the perpendicular side,
“b” is the base,
“c” is the hypotenuse side.
According to the definition, the Pythagoras Theorem formula is given as:
Hypotenuse2 = Perpendicular2 + Base2
c2 = a2 + b2
The side opposite to the right angle (90°) is the longest side (known as Hypotenuse) because the side opposite to the greatest angle is the longest.
Pythagoras Theorem
Consider three squares of sides a,b,c mounted on the three sides of a triangle having the same sides as shown.
By Pythagoras Theorem –
Area of square A + Area of square B = Area of square C
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Step-by-step explanation:
Answer :-
- phythagorus theorem is a theorem for the right angle triangle.It menas the square of the hypotenuse is equal to the sum of the square of the other sides.
Let
,ABC be the right angle triangle.
- then according to the Pythagorean theorem
if hypotenuse is AB then
- AB^2=AC^2+BC^2