 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 304 pages
...the vertex A of the triangle ABC to any point of the side BC that ZB + ZC < 2 rt. A. Use § 83. 4. If two angles of a triangle are equal, the sides opposite them, are equal. Use §§ 8"4, 86. 5. Either leg of an isosceles triangle is greater than half of the base. SUGGESTION.... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1910 - 300 pages
...the vertex ^4 of the triangle ABC to any point of the side BC that ZB + ZC < 2 rt. A. Use § 83. 4. If two angles of a triangle are equal, the sides opposite them are equal. Use §§ 84, 86. 5. Either leg of an isosceles triangle is greater than half of the base. 6.... | |
 | George William Myers - Mathematics - 1910 - 304 pages
...form a straight line. 6. In an isosceles triangle the angles opposite the equal sides are equal. 7. If two angles of a triangle are equal, the sides opposite them are equal. 8. The sum of the acute angles of a right triangle is a right angle. 9. An equilateral triangle... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...two sides of a triangle are equal, the angles opposite them are equal. Theorem III, § 40. (Converse) If two angles of a triangle are equal, the sides opposite them are equal. Theorem XVI, § 72. In case both a theorem and its converse are true, they may be stated together... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...two sides of a triangle are equal, the angles opposite them are equal. Theorem III, § 40. (Converse) If two angles of a triangle are equal, the sides opposite them are equal. Theorem XVI, § 72. In case both a theorem and its converse are true, they may be stated together... | |
 | Trinity College (Dublin, Ireland) - 1917 - 560 pages
...triangle whose area shall equal the sum of the areas of the given two. Propositions. 4. Prove that if two angles of a triangle are equal the sides opposite them are equal. 5. Define a parallelogram, and show that its opposite sides and angles are equal. Prove that... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...6, a > 6 must be true. PLANE GEOMETRY: BOOK I SIDES OPPOSITE EQUAL ANGLES ARE EQUAL 137. THEOREM X. If two angles of a triangle are equal, the sides opposite them are equal and the triangle is isosceles. Given A ABC in which ZA = Z B. • To prove that a.— b. Proof:... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...of the cases a = 6, a < 6, a > 6 must be true. SIDES OPPOSITE EQUAL ANGLES ARE EQUAL 137. THEOREM X. If two angles of a triangle are equal, the sides opposite them are equal and the triangle is isosceles. Given A ABC in which ZA = £ B. To prove that a = 6. Proof : One... | |
 | Ernst Rudolph Breslich - Mathematics - 1925 - 302 pages
...measure the two sides opposite the equal angles. Compare them as to length. This exercise shows that if two angles of a triangle are equal the sides opposite them are equal. design (Fig. 125). Lay off AB = BC=CD. Then draw angles equal to 60 degrees at A, B, C, and... | |
 | Nels Johann Lennes, Archibald Shepard Merrill - Logarithms - 1928 - 300 pages
...in a right triangle one angle is 30°, then the side opposite this angle is half the hypotenuse. (5) If two angles of a triangle are equal, the sides opposite them are equal. (6) The square of the hypotenuse of a right triangle is equal to the sum of the squares of the... | |
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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. 
