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Precalculus Skill Builders Vol 1 Solutions

Precalculus Skill Builders Vol 1 Solutions

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9. Find the exact area of the following isosceles<br />

triangle.<br />

[ 25 3<br />

4<br />

units 2 ]<br />

5<br />

30˚<br />

5<br />

10. A triangle has angles 30˚, 60˚, and 90˚, and its legs have lengths 7 3 , 7, and 14. How long<br />

is the side opposite the 60˚ angle? [ 7 3 ]<br />

11. Solve for α and β in the following triangle.<br />

[ ! = 30 ! , " = 60 ! ]<br />

12. If a 30-60-90 triangle has a hypotenuse length 100, how long is the short leg? [ 50 ]<br />

13. A 30-60-90 triangle with long leg length 15 3 has a hypotenuse of what length? [ 30 ]<br />

14. Find the area of the triangle at right.<br />

[ 100 3 ]<br />

20<br />

20<br />

30˚<br />

15. Solve for length x in terms of c.<br />

[ x = c 2 ]<br />

16. Solve for lengths x and y in terms of b.<br />

[ x = b 3, y = 2b ]<br />

<strong>Skill</strong> <strong>Builders</strong>

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