Question

L and m are the mid points (mid-points) of ab and bc respectively of angle abc right angle at bo prove that
4 (lc)^2 =(ab)^2+4 (bc)^2

Answer 1

Answer:

Step-by-step explanation:

Δ ABC is right angled and ∠B=90°

L is mid point of AB

Let AL=LB=x

In the Δ LBC

LC² =LB²+  BC²

4LC² = 4LB² +  4BC²

 =(2LB)² +4BC²

4LC² =AB²+4BC²