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1. A 30-60-90 triangle has a hypotenuse of 10. Use trig (sine, cosine, or tangent) to find the short side.Show your work. 2. A 30-60-90 triangle has a hypotenuse of 10. Use special right triangle formulas to find the long side. Explain your work. 3. A 30-60-90 triangle has a hypotenuse of 16 and a short side of 8. Use the Pythagorean theorem to find the third side. Show your work.

1. A 30-60-90 triangle has a hypotenuse of 10. Use trig (sine, cosine, or tangent) to find the short side.Show your work. 2. A 30-60-90 triangle has a hypotenuse of 10. Use special right triangle formulas to find the long side. Explain your work. 3. A 30-60-90 triangle has a hypotenuse of 16 and a short side of 8. Use the Pythagorean theorem to find the third side. Show your work.

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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1. A 30-60-90 triangle has a hypotenuse of 10. Use trig (sine, cosine, or tangent) to find the short side. Show your work. 2. A 30-60-90 triangle has a hypotenuse of 10. Use special right triangle formulas to find the long side. Explain your work. 3. A 30-60-90 triangle has a hypotenuse of 16 and a short side of 8. Use the Pythagorean theorem to find the third side. Show your work. 4. A 30-60-90 triangle has a hypotenuse of 16 and a short side of 8. Use special right angle formulas to find the third side. Explain your work. Does your answer match what you got on number 3? 5. A 45-45-90 triangle has a leg of 4[sqrt(2)]. What is the hypotenuse? Show and explain your work 6. A right triangle has legs of 4 and 5. What is the hypotenuse? Show your work. 7. A right triangle has a hypotenuse of 13 and a leg of 8. What is the other leg? Show your work. 8. A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an angle of 60 degrees with the ground. Find the distance from the base of the ladder to the bottom of the fence. Show all of your work.
Transcribed Image Text:1. A 30-60-90 triangle has a hypotenuse of 10. Use trig (sine, cosine, or tangent) to find the short side. Show your work. 2. A 30-60-90 triangle has a hypotenuse of 10. Use special right triangle formulas to find the long side. Explain your work. 3. A 30-60-90 triangle has a hypotenuse of 16 and a short side of 8. Use the Pythagorean theorem to find the third side. Show your work. 4. A 30-60-90 triangle has a hypotenuse of 16 and a short side of 8. Use special right angle formulas to find the third side. Explain your work. Does your answer match what you got on number 3? 5. A 45-45-90 triangle has a leg of 4[sqrt(2)]. What is the hypotenuse? Show and explain your work 6. A right triangle has legs of 4 and 5. What is the hypotenuse? Show your work. 7. A right triangle has a hypotenuse of 13 and a leg of 8. What is the other leg? Show your work. 8. A 12-foot ladder is leaning across a fence and is touching a higher wall located 3 feet behind the fence. The ladder makes an angle of 60 degrees with the ground. Find the distance from the base of the ladder to the bottom of the fence. Show all of your work.
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