Question

In triangleABC points L, M, N are on the sides AB, BC and AC respectively

perpendicular drawn from the points

L

Mand N from APOR Prove that AABC U APQR​

Answer 1

Step-by-step explanation:

According to the question, BM and CN are the perpendiculars drawn on the sides AC and AB of the triangle ABC. So, we have, ∠BMC = ∠BNC = 90o We know that, If a line segment joining two points subtends equal angles on the same side of the line containing the segment, then the four points are concyclic. Considering the question, Since BC joins the two points, B and C, subtending equal angles, ∠BMC and ∠BNC, at M and N on the same side BC containing the segment, then B, C, M and N are concyclic. Hence, we get that, B, C, M and N are concyclic.Read more on Sarthaks.com - https://www.sarthaks.com/873981/are-the-perpendiculars-drawn-the-sides-and-the-triangle-prove-that-the-points-and-concyclic