Applications For Triangles Worksheet With Answer Key - Garnet Valley School District Page 12

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a.
Find the length of the hypotenuse using the special relationships for a 45 -45 -90
triangle. Explain the relationships.
b.
Write the exact value for sin 45 as a fraction in simplest form.
c.
Use the formula for the area of a triangle given SAS to find the area of the triangle.
Explain your steps.
d.
Use a different method to find the area of the triangle. Explain your steps.
51. The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. About
how much room is there between the ball and the rim in a shot in which the ball goes in exactly in the center
of the rim? Show your work.
52. Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two
concentric circles are each 1.25 m long. Find the total length of wrought iron used to make the structure.
Round the answer to the nearest meter.

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