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 $25$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

The given figure is observed that a rectangle.

Step 2. Theorem used.

We use Pythagoras Theorem.

Pythagoras 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.

The opposite sides of the rectangle are equal.

$\begin{array}{l} A B = 24 \\ D C = 24 \end{array}$

Calculation:

In $Δ A D C$

We use Pythagoras Theorem.

$\begin{array}{l} x^{2} = 7^{2} + 24^{2} \\ x^{2} = 49 + 576 \\ x^{2} = 625 \end{array}$

Taking square root we get.

$x = \pm \sqrt{625}$

$x = \pm 25$

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

Therefore, the value of $x$ is $25$ .

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Geometry

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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

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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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