By Gary Powers
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Additional resources for Trigonometry for engineering technology: with mechanical, civil, and architectural applications
Sample text
Which side in triangle MNO corresponds with side AB in triangle ABC? ___________ Why? B A N 27° C Figure 4-7: Corresponding sides 59° M 34 O Chapter 4: Preparation for Right Angle Trigonometry Proportional Sides A proportion is a ratio that compares two quantities. We will use proportions to compare the lengths of sides of two similar right triangles. Proportional sides is the key relationship that makes right angle trigonometry work. Similar triangles have proportional sides because similar triangles have the same shape.
Use a proportion to determine the answer. 500 cm I Figure 4-13: Similar triangles exercise 38 L Chapter 4: Preparation for Right Angle Trigonometry Naming Sides in a Right Triangle There is one last topic to cover before we discuss the trigonometry functions. Sides of a right triangle are named based on which internal angle we are using in problem solving. The one exception to this is the hypotenuse which is always the side opposite the right angle. The one exception to this is the hypotenuse which is always the side opposite the right angle.
Are these two triangles similar? Why or why not? 2 cm C Chapter 4: Preparation for Right Angle Trigonometry Chapters 2–4, Practice Worksheet, continued C 13. Are these two triangles similar? Why or why not? 5 cm E 14. Are these two triangles similar? Why or why not? 600 in. 531 in. 200 in. T continued on next page 45 Chapter 4: Preparation for Right Angle Trigonometry Chapters 2–4, Practice Worksheet, continued 15. Name the opposite and adjacent sides in these right triangles. A Q B θ β β θ S C In triangle ABC, R In triangle QRS, 1.