Pythagorean Theorem, Isosceles Right Triangles, Trigonometric Ratios Worksheet Page 12

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16. Sam has a square backyard divided into 2 sections along the 40 foot diagonal. One of these sections is used
as a garden. What is the approximate area of the garden?
17. A guy wire supporting a radio tower is positioned 145 feet upthe tower. It forms a 45˚ anglewith the ground.
About how longis the wire?
45˚
18. Find the perimeter and area of a 45°-45°-90° triangle with a hypotenuse length 12 inches.
1
20. This triangle loom is made from wood strips shaped into a 45°-45°-90° triangle. Pegs are placed every
2
inch along each leg. Suppose you make a loom with an 18-inch hypotenuse. Approximately how many pegs
will you need?
21. Find the value of x in simplest radical form.
24. Given AC = 10, find BX in simplest radical form.
B
A
X
C
Page 2 of 2 (STOP)

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