Beman, Wooster Woodruff, 1850-1922, Smith, David Eugene, 1860-1944 · Boston, Ginn & company · leaf 245
V, prop. XYII and .\d:a = b:h. Why? 2. .-./• = a£/2 A- IV, prop. I; ax. 7 3. But v i he = t. V, prop. II, cor. 3 .-. r= abc jit. Subst. 3 in 2 Note. The value of t can be found by Heros formula. Exercise. 477. Find the areas of the triangles with sides (1) 13, 14.15; (2) 3, o, 8 ; (3) 7, 10, 18;… … Given ABCD, an inscriptible quadrilateral, with sides a, b,c, d, and diagonals e, f. To prove that ef=ac-\- bd. Proof. 1. Let ABCD be inscribed, the sides arranged as in thefigure, chord AK = BC, and DK drawn cutting ACat L. Then Z ADK = Z BDC, and Z CAD = Z CJ5D,and .-. AALD^ ABCD. Why? 2. Also v…
Geometry
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