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25-04-2024
Mathematics

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Exercise (5) H.w Consider a triangle CBR right angled at C. Let O and I be the midpoints of the segments [BR] and [CR] respectively. 1) Show that (OI) is the perpendicular bisector of the segment [CR]. 2) Denote by N the point symmetrical toO with respect to I. Show that CORN is a rhombus. 3) Prove that the quadrilateral BONC is a parallelogram. Deduce that IO=BC÷2 4) Suppose that: CB = (√17 -1), cm and CR = (√17 +1), cm. Show by calculation that CORN and BONC have equal areas.

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