Q. 401 In the following exercises, use ... [FREE SOLUTION]

91影视

Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 3: Q. 401 (page 408)

In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.

Short Answer

Expert verified

The length of the missing side is $8$ .

Step by step solution

Step 1. Given Information

We are given a right angled triangle whose length of hypotenuse is $17$ and length of one leg is role="math" $15$ .

The obejctive is to find the length of the missing side.

Step 2. Concept Used

The Pythagorean Theorem states that in any right triangle, $a^{2} + b^{2} = c^{2}$ where c is the length of the hypotenuse anda andb are the lengths of the legs.

Step 3. Find the missing length

As the length of the hypotenuse is $17$ and the length of one leg is $15$ , so in the equation $a^{2} + b^{2} = c^{2}$ substitute $17$ for $c$ and role="math" localid="1647232330742" $15$ for $a$ .

$\begin{array}{rcl} 15^{2} + b^{2} & = & 17^{2} \\ 225 + b^{2} & = & 289 \\ b^{2} & = & 289 - 225 \\ b^{2} & = & 64 \end{array}$

Taking square root both sides we get

$\begin{array}{rcl} \sqrt{b^{2}} & = & \sqrt{64} \\ b & = & 8 \end{array}$

So the length of the missing side is $8$ .

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91影视

In the following exercises, use the Pythagorean Theorem to find the length of the missing side. Round to the nearest tenth, if necessary.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Concept Used

Step 3. Find the missing length

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