Chapter 4.3, Problem 42E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

a) Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing.

b) Use the relationship from part a) to find *CM*, the length of the median to the hypotenuse of right
*AC* = 6, and *BC* = 8.

To determine

(a)

**To argue:**

The midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle.

Explanation

**Calculation:**

We have to use the fact that the congruent diagonals of a rectangle bisect each other.

Consider the rectangle ABCD whose congruent diagonals are AC and BD.

To determine

(b)

**To find:**

*CM*, the length of the median to the hypotenuse of right

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