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Pythagoras utilized radical expressions primarily in the context of his famous theorem, which relates the lengths of the sides of a right triangle. The theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, expressed as ( c^2 = a^2 + b^2 ). To find the length of the hypotenuse, Pythagoras would take the square root of the sum of the squares, leading to the use of radical expressions. This approach laid foundational concepts for geometry and later developments in mathematics.
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What jobs use Pythagoras theory?
archeology, building, stuff like that
Discuss the use of conjugates in radical problems?
Conjugates are often used in radical problems to simplify expressions and remove radicals from denominators. When dealing with a fraction that has a radical in the denominator, multiplying both the numerator and denominator by the conjugate of the denominator allows for the application of the difference of squares formula, which eliminates the radical. This technique simplifies calculations and makes it easier to work with rational expressions. Additionally, using conjugates can help in solving equations involving radicals more efficiently.
What is the length of the hypotenuse of a right triangle whose sides are 9 radical 2?
Use Pythagoras' theorem: a2+b2 = c2 and the square root of c2 is the length of the hypotenuse.
What does tan mean and how to use it?
TAN on your calculator means TANGENT. In Pythagoras Theorem. Try googling about Pythagoras Theorem and it will answer your questions. Hope this helps.
Is the height of a pyramid visible on its net?
No. You would have to use Pythagoras's theorem.
Greek mathematician who made use of radical expression in his theory?
pythagoras
How do civil engineers use radical expressions?
lick my sac
What jobs use Pythagoras theory?
archeology, building, stuff like that
Discuss the use of conjugates in radical problems?
Conjugates are often used in radical problems to simplify expressions and remove radicals from denominators. When dealing with a fraction that has a radical in the denominator, multiplying both the numerator and denominator by the conjugate of the denominator allows for the application of the difference of squares formula, which eliminates the radical. This technique simplifies calculations and makes it easier to work with rational expressions. Additionally, using conjugates can help in solving equations involving radicals more efficiently.
What is the length of the hypotenuse of a right triangle whose sides are 9 radical 2?
Use Pythagoras' theorem: a2+b2 = c2 and the square root of c2 is the length of the hypotenuse.
How can you find the base and height of a triangle if you only have one side?
You can only do this if it is a right angled, isosceles triangle. If you have one of the shorter ones, then use Pythagoras Theory to find the hypotenuse, and the other short one would be the same as the one you started with. If you have the hypotenuse, say its 3, the you can use Pythagoras Theory again. a squared+a squared=9 thus 2asquare=9 A squared=4.5 A=root of 4.5 When it is the shorter side.
What shape does Pythagoras's theorem use?
Pythagoras' theorem is applicable to right angle triangles
When a rectangular park measures 300ft by 400ft a side walk runs diagonally from one corner to the opposite corner find the length of the side walk?
Use the Pythagoras formula. In this case, squareroot(3002 + 4002) = 500.Use the Pythagoras formula. In this case, squareroot(3002 + 4002) = 500.Use the Pythagoras formula. In this case, squareroot(3002 + 4002) = 500.Use the Pythagoras formula. In this case, squareroot(3002 + 4002) = 500.
How many different ways can you use the digits 3 and 5 to write expressions in exponential form and what are the expressions?
how many different ways can you use the digits 3 and to write expressions in exponential form/ what are the expressions
Which expressions do walther and Ruth use to refer to their apartment?
They use as expressions the words small, timeworn and clean
Would a nurse use Pythagoras theorem?
Yes
What school subject would you use Pythagoras in?
Geometry
