In a ΔRST, Z is a point on side ST and SZ = ZT. If ∠RZS = 90 degree and RS = 10 cm, then what is the value of RT?

15 cm 10 cm 8 cm 12 cm

10 cm

In \(\Delta \)RZS and \(\Delta \)RZT \(\angle\)RZS = \(\angle\)RZT = 90 SZ = ZT    (Given) RZ = RZ   (common) By using SAS criteria of similarity, \(\Delta \)RZS is congruent to \(\Delta \)RZT Therefore, RT = 10 cm.