Calculating Areas and Perimeters of Triangles

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17 Questions

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

30 cm^2

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

13 cm

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

300 m^2

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

$600

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

5 cm

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

3 cm

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

250 m

What is the purpose of drawing rectangles in a histogram?

To visually display frequency distribution

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

To accurately represent the corresponding frequencies

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

Affects the appearance of the histogram

How does a histogram differ from a bar graph?

Histograms display continuous classes

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

To connect adjacent classes visually

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

It distorts the frequency distribution

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

The proportional representation of frequencies

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

To accurately represent different frequency counts

What characteristic distinguishes a histogram from a bar graph?

The use of equal-width rectangles

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

To accurately depict frequency distribution

This quiz covers the calculation of areas and perimeters of triangles with different given side lengths and perimeters. Topics include finding the area of triangles with specific side lengths and ratios, as well as determining the painted area of a wall with given dimensions.

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