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Because they both involve right angle triangles
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Is the diagonal of a square the same as its side?
Not always, the diagonal can be figured out using the Pythagorean Theorem (a²+b²=c²). Where the diagonal is the hypotenuse (c). By rearranging the Pythagorean Theorem, you can see that the diagonal of a square is always 1.4 times the side of the square.
Why the distance formula is not needed to find the distance between two points that lie on a horizontal or vertical line?
It is used, except that, because one set of coordinates are the same, the formula collapses into a simpler form.
Why is the pitchers mound not in the center of the baseball diamond?
This is because the rules of baseball say the mound is a distance from homeplate that is less than halfway the distance between homeplate and 2nd base. The distance is the same between each base in order (the same from home to 1st, 1st to 2nd, 2nd to 3rd, 3rd to home.) This results in the distance between homeplate and 2nd equal to the distance between 1st and 3rd. If you draw a line between homeplate and 2nd, and a line between 1st and 3rd, the lines will intersect in the center of the baseball diamond. However, the center point will be behind the pitcher's mound. You can use the Pythagorean Theorem to prove the distance from the mound to home is less than the center point, but that is another question. (Hint: The distance squared from home to first plus the distance squared from first to second divided by 2).
What is the Converse of isosceles triangle theorem?
The isosceles triangle theorem states that if two sides of a triangle are congruent, the angles opposite of them are congruent. The converse of this theorem states that if two angles of a triangle are congruent, the sides that are opposite of them are congruent.
What is the diagonal of a square whose area is 36?
First you want to find the lengths of the square. The formula for area is b × h, but because it's a square (and the base is the same as the height), the area can be expressed as b2. So if b2 = 36, then √36 = b. Therefore, b = 6.If you draw the diagonal in the square and make a triangle, you can use the two sides you do know to figure out the third side of the triangle using the Pythagorean theorem.62 + 62 = c272 = c2√72 = cc ≈ 8.49
What was stated in the gougu theorem?
The gougu theorem was the Chinese version of the Pythagorean theorem, they stated the same principle
What do you use to find the horizontal distance between two points?
The Pythagorean Theorem. Consider the right triangle including the two points and a third point having the same x coordinate as one and the same y coordinate as the other. Apply the Pythagorean theorem. For (x1, y1) and (x2,y2): dist. = sqrt((x1-x2)2 + (y1-y2)2)
What was the pythagorean theorem used for in 6th century?
Presumably for the same reasons that it is used in the 21st century.
How the Pythagoras theorem is used today?
The Pythagorean theorem is used today for the same thing it was invented for: to describe the relationship between the length of the three sides of a right triangle. Using the Pythagorean theorem, you can find the the length of the third side of a right triangle with two known lengths. This can be useful in a variety of math-based situations, such as when you need to determine the distance between two known points on a graph.
Is the diagonal of a square the same as its side?
Not always, the diagonal can be figured out using the Pythagorean Theorem (a²+b²=c²). Where the diagonal is the hypotenuse (c). By rearranging the Pythagorean Theorem, you can see that the diagonal of a square is always 1.4 times the side of the square.
What did Emmy Noether do to help your math?
she proved the Noether Theorem and they said that that was the biggest help for math 2day. and they also said that its almost on the same page as the Pythagorean theorem.
How does a carpenter use Pythagorean Theorem?
In geometry this theorem states, in a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides. In a right triangle one angle equals 90 degrees. The hypotenuse is on the opposite side of the right triangle. Here is the formula for the Pythagorean Theorem. a squared + b squared = c squared In this formula, c represents the length of the hypotenuse, a and b are the lengths of the other two sides. If two sides of a right triangle are known, you can substitute these values in the formula to find the missing side.When laying out concrete footings for a new building, the Pythagorean Theorem is the most accurate method available for making square 90 degree angles. It is the same as the old 3 - 4 - 5 carpentry trick, only more precise, because the exact corners can be located.
How does the pythagorean theorem prove irrational numbers?
It does not.If you consider a right angled triangle with minor sides of length 1 unit each, then the Pythagorean theorem shows the third side (the hypotenuse) is sqrt(2) units in length. So the theorem proves that a side of such a length does exist. However, it does not prove that the answer is irrational. The same applies for some other irrational numbers.
What is distance measured in in Physics?
It means more or less the same as in everyday life: how far apart two objects (or two points) are. If you know the coordinates of the two points, you can calculate the distance by using the Pythagorean theorem.
When did Greece invent the Pythagorean theorem?
The Pythagorean theorem was, oddly enough, first postulated by a Greek named Pythagoras of Samos, in the 6th century BC or so. It basically described the relationship among the three sides of a triangle and the areas of the same. There is some thought that Babylonian mathematicians well before the time of Pythagoras knew of the relationship, but he's the guy who got his name on the theorem.
Can a pythagorean theorem be used to find a missing leg in a equilateral triangle?
Yes, but it is totally pointless since all three sides (legs) are known to be the same.
What is the formula of distance?
It is the same as the distance formula. DISTANCE FORMULA: d=square root of (x2-x1)^2+(y2-y1)^2
