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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

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BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Chapter 4.3, Problem 14E, In Exercises 11 to 14, consider MNPQ with diagonals MPandNQ. When the answer is not a whole number, , example  1In Exercises 11 to 14, consider MNPQ with diagonals M P ¯  and  N Q ¯ . When the answer is not a whole number, leave a square root answer.

Chapter 4.3, Problem 14E, In Exercises 11 to 14, consider MNPQ with diagonals MPandNQ. When the answer is not a whole number, , example  2

Exercises 11 – 14

If QP = 15 and MP = 17, find MQ and NP.

To determine

To find:

MQ and NP of the given rectangle.

Explanation

The basic property of rectangle:

1) All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other).

2) All angles are right angles by definition.

3) The diagonals are congruent.

Calculation:

Given: QP = 15 and MP = 17

Consider the rectangle.

To find MQ and NP:

Let us take right MQP.

By using Pythagorean Theorem

MP2=MQ2+QP2172=MQ2+

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