T Madas Squaring a Sum T Madas Squaring

Calculate 3. 222 + 2 x 3. 22 x 1. 78 + 1. 782

13 + 5 The right angled triangle shown below has the lengths of two

The right angled triangle shown below has the lengths of two of its sides

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Squaring a Sum © T Madas

Squaring a Difference © T Madas

Difference of Squares © T Madas

Exam Question No Calculator © T Madas

Calculate 3. 222 + 2 x 3. 22 x 1. 78 + 1. 782 © T Madas

Calculate 1012 – 992 © T Madas

13 + 5 The right angled triangle shown below has the lengths of two of its sides given in terms of surds. 1. Show that the area of this triangle is 4 square units 2. Show that the hypotenuse of the triangle is 6 units long. 13 – 5 © T Madas

The right angled triangle shown below has the lengths of two of its sides given in terms of surds. 1. Show that the area of this triangle is 4 square units 2. Show that the hypotenuse of the triangle is 6 units long. We could use an identity on the numerator (a + b) (a – b) 13 + 5 A=b x 2 h = 13 + 5 x a 2 – b 2 13 – 5 = 2 = 4 square units 13 – 5 © T Madas

The right angled triangle shown below has the lengths of two of its sides given in terms of surds. 1. Show that the area of this triangle is 4 square units 2. Show that the hypotenuse of the triangle is 6 units long. 2 2 d = 13 + 5 + 13 – 5 2 13 + 5 d 2= 13 + 5 + 2 x 13 x 5 + 13 + 5 – 2 x 13 x 5 d d 2= 36 d = 6 units Using the identity: 13 – 5 (a ± b )2 a 2 ± 2 a b + b 2 © T Madas

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