 | Johann Georg Heck - Encyclopedias and dictionaries - 1851 - 712 pages
...a, b, c, given (fig. 8) ; but we may also employ two sides, a, b, and the included angle m (fig. Q), as well as two angles, m, n, and the included side...which /m= /n, from which it follows that o = p, and q=r, which shows that the line is perpendicular to be, and bisects the angle at a. In an equilateral... | |
 | Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...different triangles may be constructed, both of which will answer the conditions of the proposition, so that in this case the triangle is not completely...then there will be two equal triangles in which £m= Z_n, from which it follows that o = p, and q= r, which shows that the line is perpendicular to be,... | |
 | Trinity College (Hartford, Conn.) - 1870 - 1008 pages
...[No. 3 mny be taken aa a substitute for No. 1 and No. 2; and one of the last three may be omitted.] F. 1. In an isosceles triangle, the angles opposite the equal sides are equal; and, conversely, if two angles of a triangle are equal, the triangle is isosceles. DEFINE the... | |
 | F. B. Stevens - Examinations - 1884 - 202 pages
...contained by the whole and one of the parts may be equal to the square on the other part. (LEGENDRE.) 1. In an isosceles triangle the angles opposite the equal sides are equal. 2. In equal circles, equal chords are equally distant from the centres ; and of two unequal... | |
 | Thomas Franklin Holgate - Geometry - 1901 - 462 pages
...third side has also the greater included angle. § 80. 9. THEOREMS ON THE PROPERTIES OF TRIANGLES. (1) In an isosceles triangle, the angles opposite the equal sides are equal. § 48. (2) The straight line which bisects the vertical angle of an isosceles triangle also... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...angles and the corresponding side of another, the triangles are congruent. 8. Angles of a Triangle. 1. In an isosceles triangle the angles opposite the equal sides are equal. 2. If a triangle has two equal angles, the sides opposite these angles are equal. 3. An equilateral... | |
 | Ajit Kalra, James Stamell - Juvenile Nonfiction - 2006 - 542 pages
...Prove that LB = ¿C. ЛВС is an isosceles triangle with AB = AC. A triangle with 2 equal sides is an isosceles triangle. The angles opposite the equal sides are also equal All sides of an equilateral triangle are equal. Each angle of this triangle is 60°. Given: To prove:... | |
 | Ajit Kalra, James Stamell - Juvenile Nonfiction - 2004 - 616 pages
...the same as the 3 sides and 3 angles of the other triangle. Examples A triangle with 2 equal sides is an isosceles triangle. The angles opposite the equal sides are also equal. All sides of an equilateral triangle are equal. Each angle of this triangle is 60°. ABCis an isosceles... | |
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The measure of each angle of an equilateral triangle is 60°. 11. a. A triangle that has a right angle is called a right triangle. b. In a right triangle, the two acute angles are complementary. c. 