Provide an appropriate response.Show that the points P1(2, 4), P2(5, 2), and P3(7, 5) are the vertices of a right triangle.
What will be an ideal response?
Answers will vary. One possibility: The slope of the line through P1 and P2 is -2/3. The slope of the line through P2 and P3 is 3/2. Therefore, since the product of these slopes is the lines are perpendicular and constitute a right angle in the triangle, making the triangle formed by these points a right triangle.
You might also like to view...
Solve the problem.The hypotenuse of an isosceles right triangle is 10 feet longer than either of its legs. Find the exact length of each side.
A. (10 + ) ft, (10 +
) ft, (20 +
) ft
B. 10 ft, 10
ft, (10 + 10
) ft
C. 10 ft, 10 ft, 20 ft
D. (10 + 10) ft, (10 + 10
) ft, (20 + 10
) ft
Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f.Degree 6; zeros: 2, 2 + i, -3 - i, 0
A. -2 + i, 3 - i B. -2, 2 - i, -3 + i C. -2 - i, 3 + i D. 2 - i, -3 + i
Tell whether the statement is true or false.Let A = {3, 4, 5, 6, 7, 8}, B = {5, 7, 9}, C = {3, 4, 6, 8}, D = {3, 8}, and B ? C
A. True B. False
Express in terms of i.
A. -2i
B. -2
C. 2i
D. 2