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Mark the points (10, 14), (15, 11.11), and (10, 8.22). Enter the coordinates in the input window, if you wish. Then connect the points to form a triangle. Part A Measure the lengths of the sides of the triangle and record them in the table.

User Balessan
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1 Answer

5 votes

Answer:

The points form a equilateral triangle of side 5.78 units.

Explanation:

The length of the sides of the triangle is calculated using the distance formula.

The distance between the points (x₁,y₁) and (x₂,y₂) is


d= \sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}

Now,

AB =
\sqrt{(11.11-14)^(2)+(15-10)^(2)}=√(8.3521+25) = √(33.3521)=5.78

BC =
\sqrt{(8.22-11.11)^(2)+(10-15)^(2)}=√(8.3521+25) = √(33.3521)=5.78

CA =
\sqrt{(8.22-14)^(2)+(10-10)^(2)}=5.78

The length of the sides of the triangle is 5.78. All the sides are equal in length. It is an equilateral triangle.


Mark the points (10, 14), (15, 11.11), and (10, 8.22). Enter the coordinates in the-example-1
User Vladkras
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