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What was the pythagorean theorem used for?
The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle. It states that the length of the hypotenuse is equal to the square root of the sum of the squares of the other two sides.
How can you find the base of a triangle if you know the height and hypotenuse?
Let consider the right triangle ABC with hypotenuse AB and heigth AC then base is BC Pythagorean theorem states that AB2=AC2+BC2 so BC2=AB2-AC2 then BC=sqrt(AB2-AC2)
What squared numbers the Pythagorean Theorem?
a2 + b2 = c2 a = a leg of the triangle, b = the other leg of the triangle, and c = the hypotenuse
What is the Pythagorean theorem and what is it used for?
The side lengths of a right triangle, squared, then added together, is equal to the hypotenuse squared.
How do you prove the pythagorean theorem?
For any right angle triangle its hypotenuse when squared is equal to the sum of its squared sides.
Converse of Pythagorean Theorem?
The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.
Definition of converse for pythagorean theroem?
Pythagorean Theorem: In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.Converse: If the square on the hypotenuse is equal to the sum of the squares on the other two sides of a triangle, then it is a right triangle.
What is the difference between the pythagorean theorem and the converse of the pythagorean theorem?
The Pythagorean Theorem states that in a right triangle with legs a and b and hypotenuse c, a2 + b2 = c2. The converse of the Pythagorean theorem states that, if in a triangle with sides a, b, c, a2 + b2 = c2 then the triangle is right and the angle opposite side c is a right angle.
Which formula can be derived by using the Pythagorean theorem in the coordinate plane?
The Pythagorean theorem, which is the square root of the sum of the squares of two sides of a right triangle is equal to the hypotenuse, can be used to find the distance between two points. This means that it can also be used to find the equation of a line.
Pythagorean theorem says that the triangle is a?
A triangle is a right triangle if the sum of the squares of the two legs is equal to the square of the hypotenuse.
Where is pythagorean theorem used?
To find the side lengths and hypotenuse of a right angle triangle.
How do you find the length to a missing side of a right triangle?
Pythagorean Theorem: a2 + b2= c2 where c is the hypotenuse of a right triangle. Hypotenuse is the side of a right triangle opposite to the right angle.
How do you calculate height of triangle if base is 2 and hypotenuse is 3?
Since the triangle has a hypotenuse, it must be a right triangle. Therefore, the Pythagorean theorem applies, and the height of the triangle must be sq rt (32 - 22).
What was the pythagorean theorem used for?
The Pythagorean theorem is used to find the length of the hypotenuse of a right triangle. It states that the length of the hypotenuse is equal to the square root of the sum of the squares of the other two sides.
Which theroems are in a right triangle congruence?
In a right triangle, the Pythagorean theorem states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. Additionally, the converse of the Pythagorean theorem states that if the square of one side is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
How can you use the pythagorean theorem to find out if a triangle is a right triangle?
The pythagorean theorem states that a2 + b2 = c2. This means that in a right triangle, both legs squared will add up to the hypotenuse squared. To see if a triangle is a right side, add up the two legs squared and see if it equals the hypotenuse.
How can you find the base of a triangle if you know the height and hypotenuse?
Let consider the right triangle ABC with hypotenuse AB and heigth AC then base is BC Pythagorean theorem states that AB2=AC2+BC2 so BC2=AB2-AC2 then BC=sqrt(AB2-AC2)
