BillieH611190 BillieH611190
  • 30-10-2022
  • Mathematics
contestada

given: AD ⊥DB, BC ⊥CA and AD ≅CB .Prove ΔADB≅ΔBCA

given AD DB BC CA and AD CB Prove ΔADBΔBCA class=

Respuesta :

ZakE470683 ZakE470683
  • 30-10-2022

step 11

Prove

DB=AC

Applying Pythagorean theorem

Right triangle ADB

AB^2=AD^2+DB^2 ------> DB^2=AB^2-AD^2

Right triangle BCA

AB^2=BC^2+AC^2 -----> AC^2=AB^2-BC^2

Remember that

AD=BC

by substitution

AC=DB

step 12

triangle ADB is congruent to triangle BCA by SSS

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