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Given: AB ⊥BC, AD ⊥DC and BC ≅AD. Prove ΔABC ≅ ΔCDA

Given: AB ⊥BC, AD ⊥DC and BC ≅AD. Prove ΔABC ≅ ΔCDA-example-1
User Uriil
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1 Answer

7 votes

step 7

Find out AB in the right triangle ABC and CD in the right triangle ADC

Reason -----> by Pythagorean Theorem in a right triangle

step 8

AB=CD

because

AC^2=AB^2+BC^2

AB^2=AC^2-BC^2 -----> triangle ABC

AC^2=CD^2+AD^2

CD^2=AC^2-AD^2 -----> triangle ADC

Remember that

BC=AD -----> given

substitute

AB^2=AC^2-BC^2

CD^2=AC^2--BC^2

AB=CD

step 9

triangle ABC and triangle ADC are congruent by SSS

User Elwis
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