b = 5) 6) 60° b 10 60° 6. x = 4 y = a 7) 8) 7. m = m n 45 5 n = 45° 8. а %3 a b = 9) 10) 9. х%D 45 30° y = a 10. а %—

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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.
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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