Using the Pythagoras Theorem.

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Presentation transcript:

Using the Pythagoras Theorem

No angles involved in question Spotting a Pythagoras question Right angled triangle 62m ? 17m No angles involved in question

Spotting a Pythagoras question 6km 10km ? 4.2m 5.1m ? 26cm 31cm ? 17m ? 480 14m ? 19m

Opposite the right angle Spotting and labelling the hypotenuse Opposite the right angle Longest side Hypotenuse

Spotting and labelling the hypotenuse F E J L K M P N A C B

What did Pythagoras find ?

Hyp2 = a2 + b2 Remembering the Pythagoras theorem The length of the The lengths of the two smaller sides squared and added together The length of the hypotenuse squared

Calculating the Hypotenuse Hyp2 = a2 + b2 D F E 45cm 21cm ? Calculate the size of DE to 1 d.p. DE2 = 212 + 452 DE2 = 441 + 2025 DE2 = 2466 DE = 2466 DE = 49.659 DE = 49.7cm

Calculating one of the shorter sides Hyp2 = a2 + b2 A B C 16m 11m ? Calculate the size of AC to 1 d.p. 162 = AC2 + 112 256 = AC2 + 121 256 - 121 = AC2 135 = AC2 135 = AC 11.618 = AC AC = 11.6m