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In the figure below, given a
triangle ABC, an altitude AH = h, line DEF parallel to AC and line
FGM parallel to AB. If h1, h2, and h3 are perpendicular to BC
respectively, prove
that: h = h1 + h2 + h3.
Post a comment.
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FACTS AND HINTS:
Geometry problem solving is one of the most challenging skills for students to learn. When a
problem requires auxiliary construction, the difficulty of the problem increases drastically, perhaps because deciding which construction to make is an ill-structured problem. By “construction,” we mean adding geometric figures (points, lines, planes) to a problem figure that wasn’t mentioned as "given."
1. SIMILAR TRIANGLES:
Proposition:
Corresponding segments of similar triangles are in proportion.
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