ABC is a triangle and AD is any line drawn from A to the base BC. From B and C, two perpendiculars BE and CF are drawn to AD or AD produced. If R is the mid-point of BC, prove that RE CONSTRUCTION: Produce CF and BE so that CF = FG and BE = EH, then join AG, BG, AH, and CH (Fig. . = RF. %3D A B iR

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