Question

If circles are drawn taking two sides of a triangles as diameter, Prove that the point of

intersection of these circles lies on the third side​

Answer 1

Answer:

i prove the point of a triangles as diameter, have third side

Explanation:

If circles are drawn taking two sides of a triangles as diameter, Prove that the point of

intersection of these circles lies on the third side

Answer 2

Answer:

First, draw a triangle ABC and then two circles having a diameter as AB and AC respectively.

We will have to now prove that D lies on BC and BDC is a straight line.

Class 9 maths chapter 10 imp.ques.5

Proof:

As we know, angle in the semi-circle are equal

So, ∠ADB = ∠ADC = 90°

Hence, ∠ADB + ∠ADC = 180°

∴ ∠BDC is a straight line.

So, it can be said that D lies on the line BC.