A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.

Kindly refer to explanation.

Step-by-step explanation:

Given that:

A,B and C are 3 points on circumference of circle with centre O.

AOB is diameter.

Kindly refer to the attached image.

To prove:

Solution:

Let and .

Construction: Join point  A with centre O.

Considering :

Side AO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore,

Considering :

Side BO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore,

...... (1)

Now, in

Using angle sum property of triangle:

By equation (1):

Hence proved.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

y=20x

: )

hope this