Question

Can someone please explain Thales' theorem

Answer 1

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 semicircle that includes the diameter forms a 90 degree angle at the angle opposite to the diameter. 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

Answer 2

`\boxed{ \sf \: Thales \: Theorem}`

This theorem states that if a line is drawn parallel || to one side of a triangle ∆ to intersect the other 2 sides in distinct points, the other 2 sides are divided in the same ratio.

From the figure, with the help of this proof, we can see that :-

`\sf \: (AD)/(AE) = (AE)/(EC) \\`

Refer to the attached pictures for the proof & the figure.

Note :- Thales Theorem is also known as Basic Proportionality Theorem (BPT).

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Hope it helps.

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