Concept explainers
To generalize : The sentence from two-dimensional to three-dimensional.
Answer to Problem 4C
From any point inside a triangular pyramid whose edges have same length, the sum of projections on to the faces of the pyramid equals to the height of pyramid.
Explanation of Solution
Let suppose a point inside an equilateral
From theorem, it is known that
From any point inside an equilateral triangle, the sum of perpendiculars on the sides is equal to the altitude of the triangle.
Now, generalize the above statement to three-dimensional:
“From any point inside a triangular pyramid whose edges have same length, the sum of projections on to the faces of the pyramid equals to the height of pyramid”.
Chapter 12 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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