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Activity 4: Special Right Triangle (30°-60°-90°) 1. If a = 23, find c. 6. If c = 32, find a. 2. If a = 17, find c. 7. If c = 20, find a. 3. If a = 2√2, find c. 8. If c = 18, find a. 4. If a = 120, find c and b 9. If c = 17, find a and b. 5. If a = 29, find c and b. 10. If c = 13, find a and

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Activity 4 Special Right Triangle 306090 1 If A 23 Find C 6 If C 32 Find A 2 If A 17 Find C 7 If C 20 Find A 3 If A 22 Find C 8 If C 18 Find A 4 If A 120 Find C class=

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Answer:

1. If a = 23;

c = 23/sin(30°) = 46

2. If a = 17;

c = 17/sin(30°) = 34

3. If a = 2√2;

c = 2√2/sin(30°) = 5.66

4. If a = 120;

c = 120/sin(30°) = 240

b = sin(60°) x 240 = 207.85

5. If a = 29;

c = 29/sin(30°) = 58

b = sin(60°) x 58 = 50.23

6. If c = 32;

a = sin(30°) x 32 = 16

7. If c = 20;

a = sin(30°) x 20 = 10

8. If c = 18;

a = sin(30°) x 18 = 9

9. If c = 17;

a = sin(30°) x 17 = 8.5

b = tan(60°) x 8.5 = 14.72

10. If c = 13;

a = sin(30°) x 13 = 6.5

b = tan(60°) x 6.5 = 11. 26

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