What is one method for proving the Pythagorean Theorem?
There are numerous ways but the most simple one is this
I really enjoyed this proof when I learnt it for the first Time .there is plenty of history behind it (;
So let me give you a timeline of the various mathematician's proof of this theorem
1)Bhaskara Method;(when I don't know)
He provided 2 proofs;
1st proof
Consider the above figures;
In the above diagrams, the blue triangles are all congruent and the yellow squares are congruent. First we need to find the area of the big square two different ways. First let's find the area using the area formula for a square.
Area of the blue triangles Area of the yellow square Area of the big square What??? We are there already we have arrived at the Pythagorean theorem Now The second way involves similarity which I am not sure you are exposed to but if you want it ..Just comment (;) Now Another method is the James Garfield method ; I may suggest a video for the same but anyhow i will explain if you have any difficulties; James Garfield Proof
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One method for proving the Pythagorean Theorem is by using similar triangles. This method involves constructing squares on each side of a right triangle and then comparing the areas of these squares. By demonstrating that the area of the square formed by the hypotenuse is equal to the sum of the areas of the squares formed by the other two sides, the Pythagorean Theorem can be proven.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #9 #, #4 #, and #8 #, respectively. What is the rectangle's area?
- A lawn in the shape of a trapezoid has an area of 1,833 square meters. The length of one base is 52 meters, and the length of the other base is 42 meters. What is the height of the trapezoid?
- A right triangle has sides A, B, and C. Side A is the hypotenuse and side B is also a side of a rectangle. Sides A, C, and the side of the rectangle adjacent to side B have lengths of #7 #, #2 #, and #15 #, respectively. What is the rectangle's area?
- A leg of a 45-45-90 triangle has length #3sqrt2#. What's the length of the hypotenuse?
- The hypotenuse of a right triangle is 9 feet more than the shorter leg and the longer leg is 15 feet. How do you find the length of the hypotenuse and shorter leg?
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