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Pythagoras Theorem c a b 2 2 2 b a c Hypotenuse NB To find the Hypotenuse we must square the other sides and then add together. To find any other side we square the sides and subtract. The side is then found by taking the square root.

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Example Find the length of PQ correct to 2 significant figures 21 m 15 m P R Q

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Page 1: Pythagoras Theorem Hypotenuse NB

Pythagoras Theorem

ca

b

222 bac Hypotenuse

NBTo find the Hypotenuse we must square the other sides and then add together.To find any other side we square the sides and subtract.The side is then found by taking the square root.

Page 2: Pythagoras Theorem Hypotenuse NB

ExampleFind the length of PQ correct to 2 significant figures

21 m

15 m P

R

Q

Page 3: Pythagoras Theorem Hypotenuse NB

ExampleFind the value of y correct to 1 decimal place.

14.3 cm

3.7 cm y

Page 4: Pythagoras Theorem Hypotenuse NB

15 cm 15 cm

8 cm

x 8 cm

15 cm

15 cm

x

ExampleCalculate the value of x in each of the following (answers to 2dp)

(i) (ii)

Page 5: Pythagoras Theorem Hypotenuse NB

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Page 6: Pythagoras Theorem Hypotenuse NB

Exam past paper question: AQA 1994Brian has a “2 in 1” ladder. He can use it either as a step ladder or as an extension ladder, as shown.

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