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.
Comment