CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

In the figure, given below, triangle ABC is right-angled at B: ABPQ and ACRS are squares.Prove that : 

(i) Δ ACQ and Δ ASB are congruent. 

(ii) CQ =BS.  


Solution

QAC  = QAB+BAC=900+x
SAB=CAS+BAC=900+x 

THUS, QAC=SAB

In QAC and BAS 
QA = AB (sides of same square) 
AS = AC (sides of same square) 
QAC=SAB      Proved 

Thus, Δ ACQ is congruent to Δ  ASB (SAS) 



CQ=BS (cpctc)

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
QuestionImage
QuestionImage
View More...


Same exercise questions
QuestionImage
QuestionImage
View More...



footer-image