 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...know, — 1. That the j/s at the base of an isosceles triangle are equal. (I. 5.) 2. That if two £% of a triangle are equal, the sides opposite them are also equal. (I. 6.) 3. That the three £% of a triangle are together equal to two right ^s. (I. 32.) 4. That if... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...PROPOSITION XXX. THEOREM. 114. If two angles of a triangle be equal, the sides opposite the equal angles are equal, and the triangle is isosceles. In the triangle ABC, let the ZB = ZC We are to prove AB = AC. Draw AD _L to B C. In the rt. AADB and ADC, AD = AD, Iden. § 111... | |
 | Frank Herbert Loud - Geometry - 1880 - 134 pages
...Given a = 67° 22' 49", 0 = 45° 14' 22", b = 100. Show from the formula: used in this example, that if two angles of a triangle are equal, the sides opposite them are also equal. 14. Given a = 79, b = 31.G, 0 = 98° 53'. proved as follows: —Let ft be the greatest angle, and f... | |
 | George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...XXX. THEOREM. 114. If tгco angles of a triangle be equal, fi'e sides opposite the equal angles are equal, and the triangle is isosceles. In the triangle ABC, let the ZB = Z С. We are to ¡Trove AB = AC. Draw AD _L to B С. In the rt. AADB and ADC, AБ = AD, ZB = Z... | |
 | Franklin Ibach - Geometry - 1882 - 208 pages
...triangle bisects the base at right angles. ELEMENTS OF PLANE GEOMETRY. THEOREM XXXII. 98. CONVERSELY. — If two angles of a triangle are equal, the sides opposite them are equal, and the triangle is isosceles. С In the A ABC, let Z. a = ¿- b. To prove that A С — B С.... | |
 | Alfred Hix Welsh - Geometry - 1883 - 326 pages
...triangles are mutually equiangular, does it follow that they are also mutually equilateral ? THEOREM XVin. If two angles of a triangle are equal, the sides opposite them are equal. C Let ABC be a triangle having the angles a and b equal; then will BC = AC. For, if -BC and... | |
 | George Albert Wentworth - Geometry, Plane - 1892 - 266 pages
...PROPOSITION XXX. THEOREM. 156. If two angles of a triangle are equal, the sides opposite the equal angles are equal, and the triangle is isosceles. In the triangle ABC, let the Z B = Z C. To prove AB = AC. Proof. Suppose AD drawn J_ to BC. In the rt. A ADB and ADC, AD = AD, Men.... | |
 | Charles Ambrose Van Velzer, George Clinton Shutts - Geometry - 1894 - 416 pages
...the other, the triangles are equal in all respects. PLANE GEOMETRY. PROPOSITION XXIX. THEOREM. 103. If two angles of a triangle are equal, the sides opposite them are equal and the triangle is isosceles. B M Let ABC represent a triangle in which the angle B equals the... | |
 | Mines and mineral resources - 1894 - 330 pages
...right angles. III. If two sides of a triangle are equal, the sides opposite to them will also be equal. If two angles of a triangle are equal, the sides opposite them will also be equal. IV. If two sides of one triangle are equal to two sides of another triangle, each... | |
 | University of the State of New York. Examination dept - Examinations - 1895 - 436 pages
...that the side of a regular hexagon is equal to the radius of the circumscribed circle. 6 Prove that if two angles of a triangle are equal the sides opposite them are equal. 7 Given the base, one of the other sides and the altitude of a triangle, to construct the triangle.... | |
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Conversely, if two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is isosceles. 
