A triangle has sides of length 10cm and 12cm and has an area of 50 sq cm. a) Find the possible approximate values of the third length of the triangle (HINT: A = Vs(s – a)(s – b)(s – c) where a, b, and c are the lengths of the sides and s is the semiperimeter of the triangle) b) For each possible triangle, use the Law of Cosines to find the angle (ap- proximate value, in degrees) between the given sides. (NOTE that to find the angle, the Law of Cosines can be written as a² + b² – c² - C = cos 2ab
A triangle has sides of length 10cm and 12cm and has an area of 50 sq cm. a) Find the possible approximate values of the third length of the triangle (HINT: A = Vs(s – a)(s – b)(s – c) where a, b, and c are the lengths of the sides and s is the semiperimeter of the triangle) b) For each possible triangle, use the Law of Cosines to find the angle (ap- proximate value, in degrees) between the given sides. (NOTE that to find the angle, the Law of Cosines can be written as a² + b² – c² - C = cos 2ab
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 39E: The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of...
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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