Pythagoras' Theorem. Please help me explain wat is this! I NEED HEEEEEEEEEELP!
Please help!
Pythagoras' Theorem. Please help me explain wat is this! I NEED HEEEEEEEEEELP!
Please help!
Pythagora's Theorem, better known as the Pythagorean Theorem, is a mathematical equation that relates the sides of a right angle triangle. I could also relate to so many other things.
TYPE ONE. (TRIANGLES)
It states that : a^{2 }+ b^{2 }= c^{2 (the sum of the squares of the legs = the square of the hypotenuse).}
where a and b are legs of the right angle triangle and c is the hypotenuse(the longest side).
It is normally used to find the sides of the triangle.
To find the hypotenuse, we simply square rot both sides of the theorem.
so a^{2} + b^{2} = c^{2 } → square root(a^{2} + b^{2}) = square root(c^{2}) → square root(a^{2} + b^{2}) = c.
to find leg a, we isolate a^{2 }and then square root both sides of the equation.
so a^{2} + b^{2} = c^{2 }→^{ }a^{2 }= c^{2 }- b^{2} → square root both sides and we get a= square root(c^{2} - b^{2 }).
To find leg b, just interchange a and be the solve using the same procedure.
so we will get b= square root(c^{2} - a^{2}).
PART TWO. (CIRCLES)
another way of representing the Pythagorean Theorem is by using it to relate to a circle.
x^{2 }+ y^{2 }= r2.^{ }and we know that
sinθ = y
cosθ = x
and r is the radius
so for a unit circle (radius = 1), we have
Assume angle θ
→ (cosθ)^{2} + (sinθ)^{2 }= 1 ^{ }
The Pythagorean Theorem is used when dealing with right triangles. It is used when determining the length of one side of a right triangle. In words it says that in any right angled triangle (one angle being 90°), the square of the hypotenuse is equal to the sum of the squares of both legs.
In equation terms it is written as a^2 + b^2 = c^2.
So if you are given the length of two of the sides you can determine the other side.
For example: If Side a = 3 and side b= 4 that means that c^2 = 32 + 42. c^2 = 9 + 16. c^2 = 25. C= .
So the length of side C=5, this is also known as the Hypotenuse.
Hope that helps!
Thank you!
Comments
Algebra and Geometry do not go into part TWO.
Thanks man! For your tutorial!
you are welcomed.