Book edition Student Edition

Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Pages 227 pages

ISBN 9780395977279

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Short Answer

Find the value of $x$ from the given figure.

The value of $x$ is $2 \sqrt{10}$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The two sides are given 9 and 11.

Step 2. Theorem used.

We use Pythagorean Theorem.

Pythagorean Theorem state that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of other sides.

Step 3. Now find the value.

Substitute the values and calculate.

$\begin{matrix} 9^{2} + x^{2} = 11^{2} \\ 81 + x^{2} = 121 \\ x^{2} = 40 \end{matrix}$

Taking square root we get.

$\begin{array}{l} x = \pm \sqrt{40} \\ x = \pm 2 \sqrt{10} \end{array}$

Since, distance is a positive quantity so we neglect negative sign.

Therefore, the value of $x$ is $2 \sqrt{10}$ .

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Geometry

Answers without the blur.

Short Answer

Find the value of $x$ from the given figure.

Step by Step Solution

Step 1. Given information.

Step 2. Theorem used.

Step 3. Now find the value.

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Geometry

Answers without the blur.

Short Answer

Find the value of x from the given figure.

Step by Step Solution

Step 1. Given information.

Step 2. Theorem used.

Step 3. Now find the value.

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