If AB and CD are perpendicular to BC and AB=CD, show that EB=EC.
Answer:
- We are given that ∠ABE=∠DCE=90∘
and AB=CD.
We need to find the value of EB. - In △ABE and △DCE, we have AB=CD[Given]∠ABE=∠DCE[Each 90∘]∠AEB=∠CED[Vertically opposite angles]∴
- As corresponding parts of congruent triangles are equal, we have \bf {EB = EC} .