In the adjoining figure PA 08 and RC are eachperpendicular to AC. Whic

1.	In the adjoining figure PA 08 and RC are eachperpendicular to AC. Which one of the following is truea) x + y=z(b) xy 2z
Answer» InΔPAC andΔQBC∠PCA =∠QCB∠PAC =∠QBC ΔPAC congurent toΔQBCPA/QB = AC/BCx/y = AB/BCy/x = BC/AC InΔRCA andΔQBA∠RAC =∠QAB∠RCA =∠QBAΔRCA is congruent toΔQBARC/QB = AC/AB z/y= AC/ABy/z= AB/AC adding both eqy/z + y/z = BC + AC/ AC = 1 y/z + y/z = 1 multiplying both sides by y 1/x + 1/z = 1/y

In the adjoining figure PA 08 and RC are eachperpendicular to AC. Which one of the following is truea) x + y=z(b) xy 2z

Answer»

InΔPAC andΔQBC∠PCA =∠QCB∠PAC =∠QBC

ΔPAC congurent toΔQBCPA/QB = AC/BCx/y = AB/BCy/x = BC/AC

InΔRCA andΔQBA∠RAC =∠QAB∠RCA =∠QBAΔRCA is congruent toΔQBARC/QB = AC/AB

z/y= AC/ABy/z= AB/AC

adding both eqy/z + y/z = BC + AC/ AC = 1

y/z + y/z = 1

multiplying both sides by y

1/x + 1/z = 1/y