Question

$\large\bold{\underline{\underline{Question:-}}}$

If BM and CN are the perpendicular drawn on the sides AC and AB of the triangle ABC, Prove that the point B,C,M and N are Concyclic.



✭ Need Full Explanation

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Answer 1

Step-by-step explanation:

Given In ΔABC, BM ⊥ AC and CN ⊥ AB.

To prove Points B, C, M and N are con-cyclic.

Construction Draw a circle passing through the points B, C, M and N.

Answer 2

Step-by-step explanation:

QUESTION :

______________

If BM and CN are the perpendicular drawn on the sides AC and AB of the triangle ABC, Prove that the point B,C,M and N are Concyclic.

ANSWER :

_____________

Given : In ΔABC, BM ⊥ AC and CN ⊥ AB.

To prove : Points B, C, M and N are con-cyclic.

Construction. : Draw a circle passing through the points B, C, M and N.

Proof : Suppose, we consider SC as a diameter of the circle. Also, we know that SC subtends a 90° to the circle.

So, the points M and N should be on a circle.

Hence, BCMN form a con-cyclic quadrilateral.

Hence proved.

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