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masya89 [10]
4 years ago
9

Can someone please explain Thales' theorem

Mathematics
1 answer:
iren2701 [21]4 years ago
7 0

Answer:

In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle.

or in simpler words ;

angles formed in a <u>semicircle</u> that <u>includes </u>the <u>diameter</u> forms a 90 degree angle at the <u>angle opposite to the diamete</u>r. since the diameter divides it into two equal halves we reffer to it as a semicircle .

IF U STILL DIDNT UNDERSTAND , THEN :

  • remember that when we talk about thales thorem , you should focus at some main things:
  1. angles are constructed inside a circle.
  2. the diameter is dividing the circle into two equal halves.(two semicircles)
  3. the angles formed are using the diameter as a base.
  • so the thorem says that, in the semicircle formed by a diameter .
  • when an angle is made opposite the base , it makes a 90 degree angle

or

  • all angles made in a semicircle, form a 90 degree angle , opposte the diameter.

#answerwithquality #BAL

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As with any "solve for ..." problem, you start by looking at the operations performed on the variable of interest. Here, when you evaluate this expression according to the order of operations, you

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When you want to solve for b2, you undo these operations in reverse order. To undo multiplication by a fraction, you multiply by the inverse (reciprocal) of the fraction. To undo addition, you add the opposite.

Whatever you do must be done to both sides of the equation.

Here we go ...

... (2/h)A = b1 + b2 . . . . . we undid the multiply by h/2, by multiplying by 2/h

... (2/h)A - b1 = b2 . . . . . we undid the addition of b1 by adding the opposite of b1

Then your solution is

... b2 = 2A/h - b1

If you want to, you can combine these terms over a single denominator to get

... b2 = (2A -h·b1)/h

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