Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

If 3 and 4 are the legs of a right triangle, the hypotenuse is _________.

The hypotenuse of the right triangle is 5.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information.

In a right angle triangle, the measures of the legs are 3 and 5.

We need to find the hypotenuse of the right triangle.

Step 2. Determine the hypotenuse.

According to the Pythagoras Theorem,

$c^{2} = a^{2} + b^{2}$

Where, $a, b$ are legs and $c$ is the hypotenuse.

Use the above formula to find the hypotenuse.

role="math" localid="1645771268022" $\begin{array}{rcl} c^{2} & = & {(3)}^{2} + {(4)}^{2} \\ c & = & \sqrt{9 + 16} [∵ c ≮ 0] \\ c & = & \sqrt{25} \\ c & = & 5 \end{array}$

Step 3. Conclusion.

The hypotenuse of the right triangle is 5.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

If 3 and 4 are the legs of a right triangle, the hypotenuse is _________.

Step by Step Solution

Step 1. Given information.

Step 2. Determine the hypotenuse.

Step 3. Conclusion.

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Precalculus Enhanced with Graphing Utilities

Answers without the blur.

Short Answer

If 3 and 4 are the legs of a right triangle, the hypotenuse is _________.

Step by Step Solution

Step 1. Given information.

Step 2. Determine the hypotenuse.

Step 3. Conclusion.

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