Can you explain this please? Anyone?

Question

Pythagoras' Theorem. Please help me explain wat is this! I NEED HEEEEEEEEEELP!

Please help!

Answer 1

The Pythagorean theorem, a^2+b^2=c^2, is used when you are given a right triangle (a triangle with one right angle) and you are asked to find either side a, b or c (given two sides). Sides a and b are the lengths of any two of the legs (long leg or short leg) and side c represents the length of the hypotenuse(the longest side of a right triangle).

 

The Pythagorean theorem is also used to prove whether or not you have a right triangle. For instance, if a^2+b^2 does not equal c^2, you do not have a right triangle. You may have an acute or obtuse triangle, instead. If a^2 +b^2>c^2, you have an acute triangle (a triangle with three acute angles)

for ie.) 55 degrees+ 60 degrees+65 degrees=180 degrees (the sum of the measures of all three angles in any triangle).   6625>4225

Moreover, if a^2 +b^2<c^2, you have an obtuse triangle (a triangle with only one obtuse angle)

for ie.) 35 degrees+50 degrees+95 degrees =180 degrees.

3725<9025

 

*a right angle measures exactly 90 degrees

*an acute angle measures less than 90 degrees

*an obtuse angle measures greater than 90 degrees

Answer 2

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 : a² + b² = 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 a² + b² = c²  → square root(a² + b²) = square root(c²) → square root(a² + b²) = c.

to find leg a, we isolate a² and then square root both sides of the equation.

so a² + b² = c² → a² = c² - b²  → square root both sides and we get a= square root(c² - b² ).

To find leg b, just interchange a and be the solve using the same procedure.

so we will get b= square root(c² - a²).

 

PART TWO. (CIRCLES)

another way of representing the Pythagorean Theorem is by using it to relate to a circle.

x² + y² = 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 

 

 

 

Answer 3

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!