Question

In the figure given below AE perpendicular to DB, CF perpendicular to DF = BE, AD= BC. Prove DC=AB

Answer 1

Step-by-step explanation:

Given : AE perpendicular to DB, CF perpendicular to DF, DF=BE and AD=BC

To prove : DC=AB

Proof : In AEB and CFD

DF= BE (given)

angle AEB=angle CFD ( each 90')

and, AD= BC (given)

therefore, AEB congruent triangle CFD ( bySAS rules)

. so, DC= AB ( by CPCT)

proved