The Pythagorean Theorem A2 + B2 = C2 - Ppt Download - SlidePlayer

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Presentation on theme: "The Pythagorean Theorem a2 + b2 = c2"— Presentation transcript:

1 The Pythagorean Theorem a2 + b2 = c2a2 = c2 – b2 a b c Which side is the hypotenuse? The right angle points to the hypotenuse. It’s the side labelled “c”.

2 When calculating the hypotenuse, we add the area of the squares of the other two sides.Calculate side c. c2 = a2 + b2 c2 = 6 8 c c2 = c2 = 100 c = 10

3 Calculate the length of side x.b2 = c2 – a2 x2 = 122 – 72 a b x 12 7 x2 = 144 – 49 x2 = 95 c When calculating a side, we determine the difference of the area of the square of the hypotenuse and the area of the square of the known side. x = 9.7

4 The length and width of a rectangle are 12 cm and 15 cmThe length and width of a rectangle are 12 cm and 15 cm. Calculate the length of the diagonal. c2 = a2 + b2 d 2 = d 15 cm 12 cm d 2 = d 2 = 369 d = 19.2 cm

5 Tanya is making a party hat using a cone made out of paperTanya is making a party hat using a cone made out of paper. Determine the height of the cone. b2 = c2– a2 h2 = 132– 52 h2 = 169– 25 h 5 cm 13 cm h2 = 144 h = 12 cm

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