Use the triangle at the right. Find the missing side length. If necessary, round to the nearest tenth. 15. a = 1.1, b = 6 16. a = 8, c = 17 17. a = 9, b = 40 18. b = 2.4, c 7.4 Dotormin

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Right Triangle Problems and Real-life Applications

#### Using the Triangle at the Right
Find the missing side length. If necessary, round to the nearest tenth.

1. **Problem 15**
   - \( a = 1.1 \), \( b = 6 \)
   
2. **Problem 16**
   - \( a = 8 \), \( c = 17 \)
   
3. **Problem 17**
   - \( a = 9 \), \( b = 40 \)
   
4. **Problem 18**
   - \( b = 2.4 \), \( c = 7.4 \)
   
_Drawn Triangle Diagram Key:_
- \( a \): adjacent side length
- \( b \): opposite side length
- \( c \): hypotenuse  

#### Determine if Given Lengths can be Side Lengths of a Right Triangle

1. **Problem 23**
   - \( 15 \) ft, \( 36 \) ft, \( 39 \) ft

2. **Problem 24**
   - \( 12 \) m, \( 60 \) m, \( 61 \) m

3. **Problem 25**
   - \( 13 \) in., \( 35 \) in., \( 38 \) in.

4. **Problem 26**
   - \( 16 \) cm, \( 63 \) cm, \( 65 \) cm

### Sketch a Picture and Solve it

1. **Problem 39: Physics**
   - If two forces pull at right angles to each other, the resultant force can be represented by the diagonal of a rectangle, as shown in the diagram. This diagonal is a hypotenuse of a right triangle. A 50-lb force and a 120-lb force combine for a resultant force of 130 lb. Are the forces pulling at right angles to each other? Explain.
   
   - _Diagram_:
     - Two perpendicular forces, Force A (horizontal) and Force B (vertical), with a diagonal representing the Resultant Force.
   
2. **Problem 40**
   - A rectangular box is 4 cm wide, 4 cm tall, and 10 cm long. What is the diameter of the smallest circular opening through which the box will fit? Round to the nearest tenth of a centimeter.
   
   - _Note_: Determining the diameter of
Transcribed Image Text:### Right Triangle Problems and Real-life Applications #### Using the Triangle at the Right Find the missing side length. If necessary, round to the nearest tenth. 1. **Problem 15** - \( a = 1.1 \), \( b = 6 \) 2. **Problem 16** - \( a = 8 \), \( c = 17 \) 3. **Problem 17** - \( a = 9 \), \( b = 40 \) 4. **Problem 18** - \( b = 2.4 \), \( c = 7.4 \) _Drawn Triangle Diagram Key:_ - \( a \): adjacent side length - \( b \): opposite side length - \( c \): hypotenuse #### Determine if Given Lengths can be Side Lengths of a Right Triangle 1. **Problem 23** - \( 15 \) ft, \( 36 \) ft, \( 39 \) ft 2. **Problem 24** - \( 12 \) m, \( 60 \) m, \( 61 \) m 3. **Problem 25** - \( 13 \) in., \( 35 \) in., \( 38 \) in. 4. **Problem 26** - \( 16 \) cm, \( 63 \) cm, \( 65 \) cm ### Sketch a Picture and Solve it 1. **Problem 39: Physics** - If two forces pull at right angles to each other, the resultant force can be represented by the diagonal of a rectangle, as shown in the diagram. This diagonal is a hypotenuse of a right triangle. A 50-lb force and a 120-lb force combine for a resultant force of 130 lb. Are the forces pulling at right angles to each other? Explain. - _Diagram_: - Two perpendicular forces, Force A (horizontal) and Force B (vertical), with a diagonal representing the Resultant Force. 2. **Problem 40** - A rectangular box is 4 cm wide, 4 cm tall, and 10 cm long. What is the diameter of the smallest circular opening through which the box will fit? Round to the nearest tenth of a centimeter. - _Note_: Determining the diameter of
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