| ...note p. vii. PAGE MISCELLANEOUS EXERCISES ON AREA 186 THE THEOREM OF PYTHAGORAS 187 THEOREM 5. In a **right-angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the sides containing the right angle 190 Note on " error per cent." 193 Applications... | |
| ...Prove that AD = BE = CF. G. ss G. THIRD STAGE. BOOK II THEOREM 5. [THE THEORKM or PYTHAGORAS.] In a **right.angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the sides containing the right angle. H OL fig. 140. Data ABC is a triangle, right-angled... | |
| 1897
...numbers. Your ordinary Englishman, indeed, is never quite satisfied by Euclid's demonstration that in a **right-angled triangle the square on the hypotenuse is equal to the sum** of the squares on the two opposite sides; he honestly believes it when :he sees it tried a hundred... | |
| ...outwards. Prove that AD = BE = CF. TH1KD STAGE. BOOK II THEOREM 5. [THE THEOREM OF PYTHAGORAS.] In a **right-angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the sides containing the right angle. DL fig. 140. Data ABC is a triangle, right-angled... | |
| ...to a given quadrilateral 55 EXERCISES 55 Chapter VIII. THE THEOREM OF PYTHAGORAS. THEOREM 29. In a **right-angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the sides containing the right angle 59 THEOREM 30. If a triangle is such that the... | |
| 1860 - 147 pages
.... . . . .48 (D) ri'-l,.=(a + li)(aK) . . ' . . . . . 19 THE THEOREM OF PYTHAGORAS. THEOREM 36. In a **right.angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the sides containing the right angle . ; ,-10 PAGE THEOREM 38. EXTENSION OP PYTHAGORAS'... | |
| ...similar triangles. CD AC , __ AC* --- AC=BC> and al)"^aie BC A& + AC2 BC and BC2 = Al Revise: In a **right-angled triangle the square on the hypotenuse is equal to the sum** of the squares on the other two sides. The converse is also true: If the square on one side of a triangle... | |
| British Columbia. Superintendent of Education - 1893
...GEOMETRY. (First Class, Grade B.) Wednesday, Jit!,/ Uth ; !> a. in. to 11:30 am Total marks, 200. 1. In a **right-angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the other sides. 2. To divide a given straight line into two such parts that the... | |
| ...triangles, (ii) to verify that an angle is a right angle. THEOREM 27. [THE THEOREM OF PYTHAGORAS.] In a **right-angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the sides containing the right angle. THEOREM 28. [CONVERSE OF PYTHAGORAS' THEOREM.]... | |
| ...and equal to AB and in the opposite direction. Join BD. Prove that BD bisects AC. 6. Prove that in a **right-angled triangle the square on the hypotenuse is equal to the sum** of the squares on the sides containing the right angle. 7. Prove that equal chords in a circle are... | |
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