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Question
(i) ∆ XYZ ≅ ∆ XPZ
(ii) YZ = PZ
(iii) ∠YXZ = ∠PXZ
Solution
In right Δ XYZ and Δ XPZ,
Side XY = SIde XP .......(given)
Hypotenuse XZ = hypotenuse XZ .........(common)
(i) ∴ Δ XYZ ≅ Δ XPZ ...........(R.H.S. Axiom)
Hence (ii) YZ = PZ .............(c.p.c.t.)
and (iii) ∠YXZ = ∠PXZ ...........(c.p.c.t.)
Hence proved.
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