...the homologous altitude of the second ? 21. Two triangles are equivalent when they have two sides of one equal respectively to two sides of the other, and the included angles supplementary. 22. One diagonal of a rhomhus is five-thirds of the other, and the difference of the...

...of a regular hexagon inscribed in a circle whose radius is 11.529 inches. Cornell, 1894. 1. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side...

...of a regular hexagon inscribed in a circle whose radius is 11.529 inches. Cornell, 1894. 1. If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side...

...the other. 151. Cor. Two right triangles are equal if their legs are equal, each to each. 152. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the...

...included angle of the other, the two triangles are equal or symmetrical. 27. If two convex spherical triangles have two sides of the one equal respectively to two sides of the other, but the angle contained by these sides be greater in one triangle than in the other, the triangle which...

...§ 56. PROPOSITION XXII. THEOREM. 61. // two triangles have two sides of the one respectively equal to two sides of the other, and the included angles unequal, the third side is greater in the triangle having the greater included angle. D Given—The triangles ABC...

...Euclid may be assumed. Mr. EARDLEY, Head Inspector. Mr. PEDLOW, District Inspector. 1. Prove that if two triangles have two sides of the one equal respectively to two sides of the other, but their buses unequal, their vertical angles are unequal (10 marks) ; and show that if the diagonals...

...equilateral triangle is 3 ; find its area. 20. Two triangles are equivalent if they * have two sides of one equal respectively to two sides of the other, and the included angles supplementary. „ AD 21. One diagonal of a rhombus is five-thirds of the other, and the difference...

...with the rectangle whose sides are the two legs of the right A242. If two triangles have two sides of one equal respectively to two sides of the other and the included angles supplementary, how are the areas related ? 243. The side of an equilateral triangle is 20 decimeters...

...= 60°. .'. &ACD is equilateral (why ?), and AD, half of AB = AC. .'.AB-2AC. ' •B Ex. 23. If two triangles have two sides of the one equal, respectively, to two sides of the other, and the angles opposite two equal sides equal, the angles opposite the other two equal sides are equal or supplementary,...