...^QRP is not 45°. 7cm 7cm 11cm 5 Show that /.DCE is 90". 17 Pythagoras' theorem states that: In any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on (In; other two sides. a = b + c 12-5 Calculating the hypotenuse Example Calculate...

...theorem of Pythagoras is used to calculate the length of a side in a right-angled triangle. In any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Summary Level F Examplf ! A ABC is nght angled => AC2 = AB2...

...BC|| DE. Giving reasons, prove that x° + z° = 180°. Pythagoras' theorem Pythagoras' theorem states: In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. For this triangle, the theorem can be written as: c2 = a2 +...

...triangle opposite the right angle is called the hypotenuse. Pythagoras' theorem states that in any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Conversely, if the sides of a triangle are such that the square...

...theorem by which Pythagoras is best remembered is a:+b*=c2. It can be expressed in words as: in any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Pythagoras's great discovery: o'+b!=c2. Although the theorem...

...Pythagoras' theorem: In a right-angled triangle, the square on the side opposite the right angle equals the sum of the squares on the sides containing the right angle. Using lemma 1: BA = a - b BC = cb ~AC = ca Complex Numbers and Vectors Using Thales' theorem: BC =...

...parallels, the area of the triangle is half that of the parallelogram . 127 THE THEOREM OF PYTHAGORAS 128 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 . . . . 130 Applications of Pythagoras' theorem...

...parallelogram . . 185 t See 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...

...'. . . . . . .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'...

...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.]...