Calculating Areas and Perimeters of Triangles
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Questions and Answers

What is the area of the triangle in Example 1 with sides 8 cm and 11 cm and a perimeter of 32 cm?

  • 25 cm^2
  • 40 cm^2
  • 30 cm^2 (correct)
  • 35 cm^2

    • What is the length of the third side for the triangle in Example 1?

  • 10 cm
  • 13 cm (correct)
  • 11 cm
  • 8 cm

    • What is the area of the triangular park ABC in Example 2?

  • 300 m^2 (correct)
  • 250 m^2
  • 400 m^2
  • 350 m^2

    • What is the cost of fencing the park with barbed wire at a rate of $20 per meter?

    <p><code>$600</code></p> Signup and view all the answers

    In Example 1, what is the value of s - b for the triangle with sides 8 cm and 11 cm?

    <p>5 cm</p> Signup and view all the answers

    What is the value of s - c in Example 1?

    <p>3 cm</p> Signup and view all the answers

    For triangular park ABC in Example 2, what is the perimeter of the park?

    <p>250 m</p> Signup and view all the answers

    What is the purpose of drawing rectangles in a histogram?

    <p>To visually display frequency distribution</p> Signup and view all the answers

    Why are the rectangles in a histogram drawn with lengths proportional to frequencies?

    <p>To accurately represent the corresponding frequencies</p> Signup and view all the answers

    What role does the width of the rectangles play in a histogram construction?

    <p>Affects the appearance of the histogram</p> Signup and view all the answers

    How does a histogram differ from a bar graph?

    <p>Histograms display continuous classes</p> Signup and view all the answers

    Why are there no gaps between consecutive rectangles in a histogram?

    <p>To connect adjacent classes visually</p> Signup and view all the answers

    How does varying the width of bars impact a histogram's representation?

    <p>It distorts the frequency distribution</p> Signup and view all the answers

    What makes a histogram a suitable graphical representation for grouped data?

    <p>The proportional representation of frequencies</p> Signup and view all the answers

    In a histogram, why are areas of rectangles proportional to frequencies?

    <p>To accurately represent different frequency counts</p> Signup and view all the answers

    What characteristic distinguishes a histogram from a bar graph?

    <p>The use of equal-width rectangles</p> Signup and view all the answers

    Why are the lengths of rectangles in a histogram drawn according to frequencies?

    <p>To accurately depict frequency distribution</p> Signup and view all the answers

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