Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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The image contains a series of right triangle problems, each labeled with angles or side lengths, and a corresponding space on the right for answers. Below is a detailed description and transcription of the content: **Triangles and Problems:** 5) A right triangle with one angle marked as 60°, the hypotenuse as 10, and legs labeled \(b\) and \(a\). - The task is to find: - \(a =\) - \(b =\) 6) A right triangle with a 60° angle, with sides labeled \(x\), \(y\), and the side opposite the right angle as 4. - The task is to find: - \(x =\) - \(y =\) 7) An isosceles right triangle marked with a 45° angle, with hypotenuse \(2\sqrt{6}\), and legs labeled \(m\) and \(n\). - The task is to find: - \(m =\) - \(n =\) 8) A right triangle with a 45° angle, hypotenuse 5, and legs labeled \(b\) and \(a\). - The task is to find: - \(a =\) - \(b =\) 9) A right triangle with a 45° angle, hypotenuse \(2\sqrt{2}\), and legs labeled \(x\) and \(y\). - The task is to find: - \(x =\) - \(y =\) 10) A right triangle with a 30° angle, the side opposite the right angle as \(\frac{5}{2}\), and other sides labeled \(b\) and \(a\). - The task is to find: - \(a =\) - \(b =\) Each problem involves solving for unknown side lengths of right triangles using given angles and side lengths, typically applying trigonometric ratios or the Pythagorean theorem.
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Transcribed Image Text:The image contains a series of right triangle problems, each labeled with angles or side lengths, and a corresponding space on the right for answers. Below is a detailed description and transcription of the content: **Triangles and Problems:** 5) A right triangle with one angle marked as 60°, the hypotenuse as 10, and legs labeled \(b\) and \(a\). - The task is to find: - \(a =\) - \(b =\) 6) A right triangle with a 60° angle, with sides labeled \(x\), \(y\), and the side opposite the right angle as 4. - The task is to find: - \(x =\) - \(y =\) 7) An isosceles right triangle marked with a 45° angle, with hypotenuse \(2\sqrt{6}\), and legs labeled \(m\) and \(n\). - The task is to find: - \(m =\) - \(n =\) 8) A right triangle with a 45° angle, hypotenuse 5, and legs labeled \(b\) and \(a\). - The task is to find: - \(a =\) - \(b =\) 9) A right triangle with a 45° angle, hypotenuse \(2\sqrt{2}\), and legs labeled \(x\) and \(y\). - The task is to find: - \(x =\) - \(y =\) 10) A right triangle with a 30° angle, the side opposite the right angle as \(\frac{5}{2}\), and other sides labeled \(b\) and \(a\). - The task is to find: - \(a =\) - \(b =\) Each problem involves solving for unknown side lengths of right triangles using given angles and side lengths, typically applying trigonometric ratios or the Pythagorean theorem.
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