Chapter 8: Q. 56 (page 542)
State the formula for the area of an SAS triangle in words.
The area can be given as
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Circumscribing a TriangleShow that
where is the radius of the circle circumscribing the triangle PQR whose sides are a, b, and c, as shown in the figure.
Designing an Awning An awning that covers a sliding glass door that is 88 inches tall forms an angle of 50° with the wall. The purpose of the awning is to prevent sunlight from entering the house when the angle of elevation of the Sun is more than 65°. See the figure. Find the length L of the awning.
Great Pyramid of Cheops One of the original Seven Wonders of the World, the Great Pyramid of Cheops was built about 2580 bc. Its original height was 480 feet 11 inches,
but owing to the loss of its topmost stones, it is now shorter. Find the current height of the Great Pyramid using the information given in the illustration.
Find the distance from A to C across the gorge illustrated in the figure.
Find the area of the triangle. Round answer to two decimal places.
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