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2 answers:
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A. AB = √13 units; BC = √13 units; AC = √26 units
B. Slope of AB = 3/2; Slope of BC = -3/2; Slope of AC = -5
C. The triangles have two equal sides, therefore, it is an isosceles triangle.
<h3>How to Find the Slope and Length Between Two Points?</h3>Slope (m) = change in y / change in x.
To find the length of each side, use the distance formula, .
Given the following vertices:
A(0, 2),
B(2, 5),
C (-1, 7)
Part A:
AB = √[(2−0)² + (5−2)²]
AB = √13 units
BC = √[(2−(−1))² + (5−7)²]
BC = √13 units
AC = √[(0−(−1))² + (2−7)²]
AC = √26 units
Part B:
Slope of AB = (5 - 2)/(2 - 0)
Slope of AB = 3/2
Slope of BC = (7 - 5)/(-1 - 2)
Slope of BC = -3/2
Slope of AC = (7 - 2)/(-1 - 0)
Slope of AC = -5
Part C:
The triangles have two equal sides, therefore, it is an isosceles triangle.
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