5.2.3 The Pythagorean Theorem − Worksheet
Example 1: Find the value of x. Give your answer in simplest radical form. 1. 3 9 2.
3.
x
7
x
8
x
x – 2
11
Example 2: 4. The size of a computer monitor is usually given by the length of its diagonal. A monitor’s aspect ratio is the ratio of its width to its height. This monitor has a diagonal length of 19 inches and an aspect ratio of 5:4. What are the width and height of the monitor? Round to the nearest tenth of an inch.
19 in.
Example 3: Find the missing side length. Tell if the side lengths form a Pythagorean triple. Explain. 5. 6. 7.
1.5
4
12
5
20
1.7
Example 4: Tell if the measures can be the side lengths of a triangle. If so, classify the triangle as acute, obtuse, or right. 8. 7, 10, 12 9. 9, 11, 15 10. 9, 40, 41
1 2
3 4
1 4
12. 5.9, 6, 8.4
13. 11,13, 7 6
11. 1
,1
, 3
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