 | 352 pages
...prove that PQR is equilateraL tEx. 389 ABC is an equilateral triangle ; DBC is an isosceles triangle on the same base BC and on the same side of it, and / BDC--^ / BAC. Prove that AD = BC. tEx. 8BO. How many sides has the polygon, the sum of whose... | |
 | James McMahon - 2018 - 244 pages
...line joining their vertices bisects the base at right angles. tEx. 841. Two triangles ABC, DCB stand on the same base BC and on the same side of it; prove that AD is parallel to BC if AB = DC and AC = DB. tEx. 842. In the diagonal AC of a parallelogram... | |
 | 102 pages
...prove that PQR is equilateral. tEx. 389. ABC is an equilateral triangle; DBC is an isosceles triangle on the same base BC and on the same side of it, and L BDC = ^/ BAC. Prove that AD = BC. tEx. 39O. How many sides has the polygon, the sum of whose... | |
 | V Krishnamurthy, C R Pranesachar - Mathematics - 2007 - 708 pages
...ABCD, AC bisects angles A and C, show that AC is perpendicular to BD. 10. ABC and DBC are two triangles on the same base BC and on the same side of it such that BA = CD and BD = CA. If AC and BD meet at O, prove that AOBA is congruent to A0CD. 1 1. Deduce... | |
 | Thomas Tate (Mathematical Master, Training College, Battersea.) - 1860 - 404 pages
...(iv) BC=DE, (v) BC=DE, AC=DF, AC=DE, AC=DF, Lk = Lf, ^A=^ E, tEx. 51. Two triangles ABC, DCB stand on the same base BC and on the same side of it; prove that AD is parallel to BC if AB = DC and AC= DB. SUMMARY OF RESULTS If two triangles have two... | |
 | Education Department - 1879 - 1118 pages
...will form another equilateral triangle. 6. Equal triangles on equal bases in the same straight line and on the same side of it are between the same parallels. Show that the figure formed by joining the middle points of the sides of a quadrilateral is half of... | |
 | 1877 - 470 pages
...be produced to D, the angle CBD is greater than the angle CAB. 3. Equal triangles on the same base and on the same side of it are between the same parallels. 4. The square described on the side subtending the right angle of a right-angled triangle is equal... | |
 | 464 pages
...prove that PQR is equilateral. tEx. 389 ABC is an equilateral triangle; DBC is an isosceles triangle on the same base BC and on the same side of it, and / UDC ;, z BAG. Prove that AD = BC. tEx. 39O. How many sides has the polygon, the sum of whose... | |
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Equal triangles on the same base, and on the same side of it, are between the same parallels. 
