Chapter 7.4 Notes: Special Right Triangles - PowerPoint PPT Presentation

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Chapter 7.4 Notes: Special Right Triangles

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Chapter 7.4 Notes: Special Right Triangles Goal: You will use the relationships among the sides in special right triangles. Part I: Draw an isosceles right triangle. – PowerPoint PPT presentation

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Title: Chapter 7.4 Notes: Special Right Triangles


1
Chapter 7.4 Notes Special Right Triangles
  • Goal You will use the relationships among the
    sides in special right triangles.

2
  • Part I
  • Draw an isosceles right triangle.
  • What do you know about the two legs?
  • What do you know about the measures of the acute
    angles of an isosceles right triangle?
  • Another name for an isosceles right triangle is a
  • 45o-45o-90o triangle.

3
  • Theorem 7.8 45o-45o-90o Triangle Theorem
  • In a 45o-45o-90o triangle, the hypotenuse is
  • times as long as each leg.
  • hypotenuse ________________
  • Find the length of the hypotenuse.
  • Ex.1 Ex.2

4
  • Find the lengths of the legs in the triangle.
  • Ex.3 Ex.4


  • 2
  • Part II
  • Draw an equilateral triangle with side length of
    6 cm
  • What do you know about an equilateral triangle?
  • 1. ________________________________
  • 2. ________________________________

5
  • When you divide an equilateral triangle in half,
    the two triangles formed are called a 30o-60o-90o
    triangle.
  • Theorem 7.9 30o-60o-90o Triangle Theorem
  • In a 30o-60o-90o triangle, the hypotenuse is
    twice as long as the shorter leg, and the longer
    leg is
  • times as long as the shorter leg.
  • hypotenuse _______________
  • longer leg ________________

6
  • Ex.5 Find the values of x and y. Write your
    answer in simplest radical form.
  • Find the value of the variable.
  • Ex.6 Ex.7
  • 60o
  • y

  • 30o
  • x

7
  • Ex.8 The shorter leg of a 30-60-90 triangle has
    a length of . What are the lengths of the
    other two sides?
  • Ex.9 A baseball diamond is a square. The
    distance from base to base is 90 feet. How far
    does the second baseman throw a ball to home
    plate?

8
  • Find the value of the variable.
  • Ex.10 Ex.11
  • Ex.12
  • 60o

  • b
  • a

  • 15
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