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14-15. Given the figure, answer the questions below. OE 09 6'cm _14. What is the value of side a? c. 6V2 cm d. 6v3 cm a. 6 cm b. 12 cm 15. What is the value of side b? C. 6VZ cm d. 6v3 cm a. 6 ст b. 12 cm

14-15. Given the figure, answer the questions below. OE 09 6'cm _14. What is the value of side a? c. 6V2 cm d. 6v3 cm a. 6 cm b. 12 cm 15. What is the value of side b? C. 6VZ cm d. 6v3 cm a. 6 ст b. 12 cm

Elementary Geometry For College Students, 7e
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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14-15. Given the figure, answer the questions below. $5 09 6 cm 14. What is the value of side a? a. 6 сm b. 12 cm c. 6v2 cm d. 6v3 cm 15. What is the value of side b? C. 6vZ cm d. 6v3 cm a. б ст b. 12 cm B. Determine the six trigonometric ratios of the given right triangle below by completing the Note: Trigonometric ratios hold true only for right-angled triangles Jin of sin o 0ppeintt unedda Tanguit UF e tan e = DfONiti Hint: Use "SOH CAH TOA" SIDES tan 8 353 sec e s03
Transcribed Image Text:14-15. Given the figure, answer the questions below. $5 09 6 cm 14. What is the value of side a? a. 6 сm b. 12 cm c. 6v2 cm d. 6v3 cm 15. What is the value of side b? C. 6vZ cm d. 6v3 cm a. б ст b. 12 cm B. Determine the six trigonometric ratios of the given right triangle below by completing the Note: Trigonometric ratios hold true only for right-angled triangles Jin of sin o 0ppeintt unedda Tanguit UF e tan e = DfONiti Hint: Use "SOH CAH TOA" SIDES tan 8 353 sec e s03
a. 52 b. 36 25 86 'P 7. If AUWV-AXZY, then what is the ratio of UV:XY a. 1:4 b. 5: 12 c. 1:3 d. 4:1 A 8. It is a theorem which states the square of the hypotenuse of a right triangle is equal to the sum of the squares of the side of a triangle. a. Pythagorean theorem b. SSS similarity theorem c. SAS similarity theorem d. Right triangle similarity theorem 9. What theorem states that if two triangles have two pairs in the same ratio and the included angles are also equal, then the triangles are similar? a. AA similarity theorem b. SSS similarity theorem C. SAS similarity theorem d. Right triangle similarity theorem 10. What is the length of the remaining side of the right triangle? (Hint: use Pythagorean theorem: a? + b? = c?) a. 3 cm b. 6 cm 15 cm d. 12 cm 11. Which of the following is a special right triangle? a. 45° - 45° - 90 triangle b. 30° - 60° - 90 triangle d. both a and b abu .09 - 09-.09 ) 12-13. Below are the properties of special right triangle. I. The legs are congruent II. The length of the hypotenuse is v2 times the length of a leg III. The length of the hypotenuse is taice the length of the chorter ley 12. Which properties are true for 45° - 45° - 90° triangle? a. I only b. III only II 1 II 1 'P 13. Which properties are true for 30° – 60° – 90" triangle? a. I only b. III only
Transcribed Image Text:a. 52 b. 36 25 86 'P 7. If AUWV-AXZY, then what is the ratio of UV:XY a. 1:4 b. 5: 12 c. 1:3 d. 4:1 A 8. It is a theorem which states the square of the hypotenuse of a right triangle is equal to the sum of the squares of the side of a triangle. a. Pythagorean theorem b. SSS similarity theorem c. SAS similarity theorem d. Right triangle similarity theorem 9. What theorem states that if two triangles have two pairs in the same ratio and the included angles are also equal, then the triangles are similar? a. AA similarity theorem b. SSS similarity theorem C. SAS similarity theorem d. Right triangle similarity theorem 10. What is the length of the remaining side of the right triangle? (Hint: use Pythagorean theorem: a? + b? = c?) a. 3 cm b. 6 cm 15 cm d. 12 cm 11. Which of the following is a special right triangle? a. 45° - 45° - 90 triangle b. 30° - 60° - 90 triangle d. both a and b abu .09 - 09-.09 ) 12-13. Below are the properties of special right triangle. I. The legs are congruent II. The length of the hypotenuse is v2 times the length of a leg III. The length of the hypotenuse is taice the length of the chorter ley 12. Which properties are true for 45° - 45° - 90° triangle? a. I only b. III only II 1 II 1 'P 13. Which properties are true for 30° – 60° – 90" triangle? a. I only b. III only
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