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Find the area and the perimeter of the rectangle with a diagonal 2 square root {10} in and the...

Question:

Find the area and the perimeter of the rectangle with a diagonal {eq}\rm 2 \sqrt {10}\ in {/eq} and the width {eq}\rm 2 \sqrt 2 \ in {/eq}. Simplify your answer and include the proper units.

Pythagorean Theorem

Pythagorean Theorem is a popular theorem used in solving a missing side of a right triangle. It is defined by the formula:

$$c^{2} = a^{2} + b^{2} $$ wherein: c = hypotenuse, a and b are the other two (sides) of the triangle

Answer and Explanation: 1

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Let x = length of the rectangle

To get the value of x, use Pythagorean Theorem

$$\begin{align} x &= \sqrt{(2\sqrt{10})^{2} -...

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Pythagorean Theorem | Definition, Method & Examples

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Chapter 25 / Lesson 2
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Explore what the Pythagorean theorem is and understand the Pythagorean theorem equation. Learn how to solve problems using Pythagorean theorem examples.


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