Geometric Exercises for Algebraic Solution; Second Year Mathematics for Secondary Schools

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21. Two points lying, one on each of the sides of a right angle, begin moving toward the vertex at an instant when they are 13 feet apart. One moves i foot in 6f second and the other moves i foot in i minute. After i minute the points are 5 feet apart. How far were they from the vertex at the start ?
22. Solve a problem like 21, replacing 13 by a, ''i foot in 6f seconds" by "i foot in 6 seconds," "i foot in i minute" by "i foot in c minutes," and "after i minute the points are 5 feet apart" by
..."after c minutes the' points are / feet apart." 23. Denoting by a, b, c, p, q, h, the lines beside which these symbols stand in Fig! 28, and by A, the area of the tri- angle, show that, if any two of them are given, the rest may be expressed in terms of the given two.
Of Equilateral and Isosceles Triangles 41 24. The difference between the hypothenuse and one side of a right triangle is 4 feet. The other side is 8 feet long.
Find the length, I, of the hypothenuse.
§ 15. Of Equilateral and Isosceles Triangles Equilateral Triangles 1.


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