Q) In the given figure, XZ is parallel to BC. AZ = 3 cm, ZC = 2 cm, BM = 3 cm and MC = 5 cm. Find the length of XY.
Ans: Step 1: Since XZ ǁ BC, Therefore, 
(BPT Theorem)
∴ 
………….. (i)
Step 2: Since XZ ǁ BC, ∴ XY ǁ BM
∠ AXY = ∠ ABM (Corresponding angles)
∠ XAY = ∠ BAM (Common angle)
∴ Δ AXY 
Δ ABM (by AA property)
∴ 
Step 3: Substituting value from equation (i), we get:
or XY = 
= 1.8
Therefore, the value of XY is 1.8 cm.
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(BPT Theorem)
………….. (i)
Δ ABM (by AA property)
= 1.8