PYTHAGORAS THEOREM In a right angled triangle the
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PYTHAGORAS THEOREM In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other 2 sides. HY A powerpoint. PO presentation by TE NU 1 st side SE A Carmelo Ellul Head of Department (Mathematics) C B 2 nd side AB 2 = AC 2 + CB 2
PYTHAGORAS THEOREM AB 2 = AC 2 + CB 2 52 = 32 + 42 25 = 9 + 16 A 3 cm C 5 cm 4 cm B
PYTHAGORAS THEOREM Problem 1: Finding the length of the hypotenuse
PYTHAGORAS THEOREM Problem 1: In triangle ABC find the length of side AB. A 5 cm C 12 cm By Pythagoras: AB 2 = AC 2 + CB 2 AB 2 = 52 + 122 AB 2 = 25 + 144 AB 2 = 169 AB = 13 cm B
PYTHAGORAS THEOREM Problem 1: In triangle ABC find the length of side AB. A 5 cm C 12 cm By Pythagoras: AB 2 = AC 2 + CB 2 AB 2 = 52 + 122 AB 2 = 25 + 144 PROBLEM 2 RESTART END SHOW AB 2 = 169 AB = 13 cm B
PYTHAGORAS THEOREM Problem 2: Finding the length of one of the smaller sides
PYTHAGORAS THEOREM P Problem 2: In triangle PQR find the length of side RQ correct to 1 d. p. 5 cm R 10 cm Q By Pythagoras: PQ 2 = PR 2 + RQ 2 102 = 52 + RQ 2 100 = 25 + RQ 2 100 - 25 = RQ 2 75 = RQ 2 = RQ RQ = 8. 660. . . cm = 8. 7 cm
PYTHAGORAS THEOREM P Problem 2: In triangle PQR find the length of side RQ correct to 1 d. p. 5 cm R 10 cm Q By Pythagoras: PQ 2 = PR 2 + RQ 2 102 = 52 + RQ 2 100 = 25 + RQ 2 100 - 25 = RQ 2 PROBLEM 1 75 = RQ 2 RESTART = RQ END SHOW RQ = 8. 660. . . cm = 8. 7 cm
