A square identity in an isosceles right triangle

A square identity in an isosceles right triangle

Secondary 2
TGM Original Questions

Triangle \(UVW\) is right-angled isosceles at \(U\), with \(UV=UW\). The perpendicular from \(U\) meets \(VW\) at \(H\), and \(T\) is any point on \(VW\). Prove that \(VT^2+WT^2=2UT^2\).

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Answer:\(VT^2+WT^2=2UT^2\), as required.

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