Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
10th Edition
ISBN: 9780134673301
Author: Waits, Foley, Kennedy, Bock Demana
Publisher: PEARSON
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Expert Solution & Answer
Chapter P.2, Problem 55E
Solution
Prove that the midpoint of the hypotenuse of the right triangle with vertices (0, 0), (5, 0), and (0, 7) is equidistant from the three vertices.
AD=CD=BD=
The Mid-point of right triangle is equidistant from all the three vertices.
Given information:
Vertices of right triangle are (0, 0), (5, 0), and (0, 7)
Concept used:
- First, find the value for x on the x-axis.
- Next, find the y-value on the y-axis.
- The point should be plotted at the intersection of x and y.
- Finally, plot the point on your graph at the appropriate spot.
- Then join all the points to make a closed figure.
Calculation:
The given points are A(0, 0), B(5, 0), and C(0, 7)
Plotting the points in the graph -
The mid-point is D(2.5, 3.5).
Using distance formula −
A(0, 0), D(2.5, 3.5)
C(0,7), D(2.5, 3.5)
B(5, 0), D(2.5, 3.5)
AD=CD=BD=
As D is the mid-point of hypotenuse CB and the distance from three vertices to mid-point is same.
So mid-point of right triangle is equidistant from all the three vertices.
Chapter P Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
Quadrilaterals: Missing Angles and Sides; Author: rhornfeck;https://www.youtube.com/watch?v=knVj1O0L2TM;License: Standard YouTube License, CC-BY
STD IX | State Board | Types of Quadrilateral; Author: Robomate;https://www.youtube.com/watch?v=wh0KQ4UB0EU;License: Standard YouTube License, CC-BY