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Scientific Notation Length Conversion Area Conversion

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The Pythagorean Theorem

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a2 + b2 = c2
a
b
c

Knowledge

If c denotes the length of the hypotenuse and a and b denote the lengths of the other two sides, the Pythagorean theorem can be expressed as the Pythagorean equation:

a2 + b2 = c2

If the lengths of both a and b are known, then c can be calculated as

c = a2 + b2

If the length of the hypotenuse c and of one side (a or b) are known, then the length of the other side can be calculated as

a = c2 - b2 or b = c2 - a2

Example 1

Find the value of ? in the triangle shown below.

42 + 32 = ?2

16 + 9 = ?2

25 = ?2

25 = ?

5 = ?

Example 2

Find the value of ? in the triangle shown below.

92 - 82 = ?2

81 - 64 = ?2

17 = ?2

17 = ?

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