Answer:
4) No, 5) Yes, 6) 15.58, 7) 11.46
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Tangent is perpendicular to radius of circle.
The formed triangle is then a right triangle.
Use Pythagorean to verify.
Question 4
Check Pythagorean if is correct:
- 20² = (8.5*2)² + 12²
- 400 = 433
False equality, the answer is No.
Question 5
Check if Pythagorean is correct:
- (9 + 8)² = 8² + 15²
- 289 = 289
True equality, the answer is Yes.
Question 6
Let the missing side be x.
Apply Pythagorean to find it:
- x² = 17² - 6.8²
- x² = 242.76
- x = √242.76
- x = 15.58 (rounded)
Question 7
Let the missing side be x.
Apply Pythagorean to find it:
- x² = (7.5 + 5)² - 5²
- x² = 131.25
- x = √131.25
- x = 11.46 (rounded)