Core stretch Triangle $UVW$ is right-angled isosceles at $U$, with $UV=UW$. The perpendicular

Question

Core stretch 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 $VT^2+WT^2=2UT^2$. $U$ $V$ $W$ $H$ $T$

Accepted Answer

$VT^2+WT^2=2UT^2$, as required.

A square identity in an isosceles right triangle

A square identity in an isosceles right triangle

Solution:

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