1.

In the figure, XYZ is an isosceles triangle right angled atY. PQRY is a square of side 10 cm and S is the point ofintersection of XR and PZ. Find the length of XR + PZ.2015KO

Answer»

as this is an isosceles triangle, YP and RZ eill be the midpoint of XY and YZ respectively so the triangle is symmetric across the line QSY hence XR = PZ so XY=2PY, Applying Pythagoras theorem we get XR= 10√5, so XR+PZ=20√5

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