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Pythagorean Theorem Differentiated Instruction for Use in an ...

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What is the length of the leg<br />

AC? 3<br />

What is the length of the leg<br />

CB? 3<br />

The area of the two smaller squares is 3²<br />

The area of the larger square is 3² + 3² = c²<br />

9 + 9 = 18 The area of the larger square is 18.<br />

What is the length of the hypotenuse AB?<br />

The length of the hypotenuse is c. Estimate the square root of c² to f<strong>in</strong>d c.<br />

c² = 18 The square root of 18 is 4.24<br />

The length of the hypotenuse is 4.24<br />

Review – How to f<strong>in</strong>d a square root on the calculator.<br />

Record the key strokes <strong>for</strong> f<strong>in</strong>d<strong>in</strong>g the square root of 18 below.<br />

2 nd x² 18 ) enter<br />

Us<strong>in</strong>g your calculator f<strong>in</strong>d the follow<strong>in</strong>g (round to the nearest tenth):<br />

√5 = 2.2 √12 = 3.5 √22 = 4.7 √154 = 12.4 √41 = 6.4<br />

18

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