in triangle xyz pq||yz if xp=4cm py= 5cm xz=12.5cm find XQ
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Answer: Figure above☝☝
Step-by-step explanation:
XP + PY= XY = 4+5 =9 ( from fig and given)
XQ + QZ= 12.5 ..............( from fig and given)
In triangle XYZ, PQllYZ
XP/ PY = XQ/QZ .......( By BPT or Thales
theorem)
Reciprocal the equation,
PY/XP = QZ/XQ
Add 1 to both sides,
PY/XP +1 = QZ/XQ +1
(PY+XP)/XP = (QZ+XQ)/XQ
XY/XP = XZ/XQ
XQ = XZ*XP/XY= 9*4/12.5= 2.88 cm
Therefore, XQ=2.88cm
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