Chapter 4.3, Problem 15E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*In Exercises 15 to 18, consider* *rhombus* *ABCD* with diagonals
*When the answer is not a whole number, leave a square root answer.*

*Exercises 15 – 18*

If *AE = *5 and *DE* = 4, find *AD.*

To determine

**To find:**

*AD* of the given rhombus.

Explanation

**The basic properties of rhombus:**

1) All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary).

2) All sides are congruent by definition.

3) The diagonals bisect the angles.

4) The diagonals are perpendicular bisectors of each other.

**Calculation:**

Given: *AE = *5 and *DE* = 4

Consider the rhombus.

To find *AD*:

From the property, in rhombus, diagonals are perpendicular bisectors.

In rhombus *ABCD*,

By using Pythagorean Theorem

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