Question

in ∆ABC <A=30,<B=60.If we draw a circle with AB as diameter.Say whether it will pass through C?Why?​

Answer 1

Answer:

Yes

Step-by-step explanation:

Given,

triangle ABC where angle A = 30° and angle B = 60°

So through Angle sum property we get,

<A + <B + <C = 180°

Therefore <C = 180 - 60 - 30 = 90°

Now the next part is a bit confusing it's a statement

In a Circle, if a triangle is drawn such that one of its sides corresponds to or is placed on the diameter then its opposite angle will always be 90° and the third side will be on the circumference of the the circle

And this statement is proven from a theorem (just for your information)

This is just the converse of that statement or you can say theorem

so we have proven that the third angle C = 90°

Thus it must be on the circumference of the circle

so if we were to draw a circle through the triangle then third point will be passed

Hope you understood it........All the best

Answer 2

Answer:

Step-by-step explanation: