Question

in the figure of the given construction, if triangle QST is similar to triangle QRP, then the ratio QT:QP is​

Answer 1

$\bold\red {Answer}$

from image we can see that, in AQST and AQRP we have,

→ ZQST=ZQRP (given)

→ ZSQT=<RQP (common)

SO,

→ AQST ~ AQRP (By AA similarity.)

since we know that, when two A's are similar, ratio of their corresponding sides are in same ratio.

then,

→QS/QR = ST/RP = QT/QP.

therefore,

→ QT: QP = ST: RP: QS: QR.