The converse of the Pythagorean theorem is also a true statement: If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle. Use the distance formula and the Pythagorean theorem to determine whether the set of points could be vertices of a right triangle. 79. (-4,5), (6,1), and (-8,-5)80. (-3,1), (2,-1), and (6,9)81. (-4,3), (0,5), and (3,-4) ------------- So I know distance formula is the square root of (x2-x1)²+(y2-y1)² and pythagorean theorem is a²+b²=c², but I'm unsure of how I'm supposed to use the formulas in this situation
The converse of the Pythagorean theorem is also a true statement: If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle. Use the distance formula and the Pythagorean theorem to determine whether the set of points could be vertices of a right triangle. 79. (-4,5), (6,1), and (-8,-5)80. (-3,1), (2,-1), and (6,9)81. (-4,3), (0,5), and (3,-4) ------------- So I know distance formula is the square root of (x2-x1)²+(y2-y1)² and pythagorean theorem is a²+b²=c², but I'm unsure of how I'm supposed to use the formulas in this situation
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.2: The Rectangular Coordinate System And Graphing Lines
Problem 103E
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The converse of the Pythagorean theorem is also a true statement: If the sum of the squares of the lengths of two sides of a
79. (-4,5), (6,1), and (-8,-5)
80. (-3,1), (2,-1), and (6,9)
81. (-4,3), (0,5), and (3,-4)
-------------
So I know distance formula is the square root of (x2-x1)²+(y2-y1)² and pythagorean theorem is a²+b²=c², but I'm unsure of how I'm supposed to use the formulas in this situation
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