 | Euclid - Euclid's Elements - 1904 - 488 pages
...complementary. 3. In a right-angled isosceles triangle each of the equal angles is half a right angle. 4. If one angle of a triangle is equal to the sum of the other two, the triangle is right-angled. 5. The sum of the angles of any quadrilateral figure is equal to four right... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...angles. 63 The exterior angle formed by producing the hypotenuse of a right triangle is obtuse. 64 If one angle of a triangle is equal to the sum of the other two, the triangle is a right triangle. 65 If a line drawn from the vertex of a triangle to the mid-point of... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...angles. 63 The exterior angle formed by producing the hypotenuse of a right triangle is obtuse. 64 If one angle of a triangle is equal to the sum of the other two, the triangle is a right triangle. 65 If a line drawn from the vertex of a triangle to the mid-point of... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...third angle of the other. 3. In any right-angled triangle the two acute angles are complementary. 4. If one angle of a triangle is equal to the sum of the other two, the triangle is right-angled. 5. The sum of the angles of any quadrilateral figure is equal to four right... | |
 | University of Calcutta - 1910 - 684 pages
...angles of any trianirle are to- ~> gether equal to two right 'angles. Prove that if one of the angles of a triangle is equal to the sum of • the other two the triangle is right-angled. 4. Prove that the square on the hypotenuse of a right-angled 8 triangle is... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry, Modern - 1911 - 332 pages
...P in the base BT so that B Pis greater than PT, then angle BSP is greater than angle PST. Ex. 185. If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles. SUMMARY OF THEOREMS FOR PROVING ANGLES UNEQUAL... | |
 | Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...P in the base BT so that JfPis greater than PT, then angle RSP is greater than angle PST. Ex. 185. If one angle of a triangle is equal to the sum of the othei twG. the triangle can be divided into two isosceles triangles. 8T7MMABY OP THEOREMS FOR PROVING... | |
 | 356 pages
...Find angle C and angle ACD. 6. Two angles of a triangle are each 54°. What is the third angle ? 7. If one angle of a triangle is equal to the sum of the other two, what is the greatest angle ? 8. Can triangles be constructed with angles (i) 60°, 80°, 40°... | |
 | 666 pages
...Z ACD is greater than ZA [YZB#0] (ii) Z ACD is greater than ZB [v ZA * 0] B Example 14 : Prove that if one angle of a triangle is equal to the sum of the other two angles, the triangle is right angled. Solution : Let the given triangle of A ABC in which Since,... | |
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If one angle of a triangle is equal to the sum of the other two, the triangle can be divided into two isosceles triangles. 
