At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
The special triangles have sin(60°) = cos(30°) = [tex]\frac{\sqrt{3} }{2}[/tex], and sin(30°) =
cos(60°) = 0.5, from which we have;
- x = 13, y = 13·√2
- x = 15·√2, y = 15·√2
- x = 6, y = 3·√3
- x = 17·√(3), y = 17
- x = y = 10
- x = 50, y = 25
- x = 2·√7, y = 2·√7
- x = 16·√3, y = 8·√3
- x = 11·√3, y = 33
- x = 3·√2, y = 2·√6
- x = √(10), y = 2·√(10)
- y = 8·√7, x = 4·√7
- x = 17·√3, y = 34·√2, z = 34,
- x = 18·√3, y = 18, z = 9
- x = 14·√2, y = 14, z = 14·√3
- x = 8·√3, y = z, = 12·√2
- x = 26·√3, y = 13·√3, z = 39·√2
- x = [tex]6\frac{2}{3} \cdot \sqrt{3}[/tex], y = [tex]3\frac{1}{3} \cdot \sqrt{3}[/tex], z = 10·√2
- x = 6, y = 12, z = 12·√2
- x = 20·√3, y = 30, z = 10·√3
- Perimeter = 24·√5
- Perimeter = 56·√2
- Length of he ramp = 75 inches
- The speed of the ball 75·√2 feet/s
Which method is used to solve special triangles?
The measures of the sides are;
1. x = 13, y = 13·√2
2. x = y, and x·√2 = 30
Which gives;
x = 15·√2, y = 15·√2
3. x = 3 ÷ 0.5 = 6, y = 3·√3
4. y = 34 × 0.5 = 17, x = 17·√(3)
5. x = y = 10
6. x = 50, y = 25
7. x·√2 = 2·√(14), which gives;
x = 2·√(14) ÷ √2 = √(28) = 2·√7 = y
x = 2·√7, y = 2·√7
8. x = 24 × 2 ÷ √3 = 16·√3
y = 8·√3
9. x = 11·√3, y = 33
10. y = 2·√6, x = 3·√2
11. x = √(10), y = 2·√(10)
12. y = 4·√(21) × 2 ÷ √3 = 8·√7
x = 4·√7
13. x = 17 ÷ tan(30°) = 17·√3
Common side = 34 = z
y = 34·√2
14. x = 27 × 2 ÷ √3 = 54·√3 ÷ 3 = 18·√3
Common side = 9·√3
y = 9·√3 × 2 ÷ √3 = 18
z = 9
15. x = 14·√2
Common side = 28
y = 14, z = 14·√3
16. x = 8·√3
Common side = 24
y·√2 = 24
Therefore;
y = 12·√2 = z
17. Common side = 39
x = 39 × 2 ÷ √3 = 26·√3
y = 13·√3
z = 39·√2
18. z = 10·√2 = The common side
x = 10·√2 × 2 ÷ √3 = 20·√6 ÷ 3
x = [tex]\underline{6\frac{2}{3} \cdot \sqrt{3}}[/tex]
y = [tex]\underline{3\frac{1}{3} \cdot \sqrt{3}}[/tex]
19. The common side = 12 = y
x = 6, z = 12·√2
20. z = 10·√3, x = 20·√3, y = 30
21. The perimeter = 3 × 8·√(5) = 24·√5
22. The perimeter = 4 × 14·√2 = 56·√2
23. The length of the ramp = 2 × 37.5 inches = 75 inches
24. Distance from the first base to the third base = 90·√2 feet
[tex]Speed = \dfrac{90 \cdot \sqrt{2} }{1.2} = 75 \cdot \sqrt{2}[/tex]
The speed of the ball 75·√2 feet/s
Learn more about special right triangles in here:
https://brainly.com/question/12237712
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.
