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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 2: Q. 207 (page 145)

Use the Pythagorean Theorem to find the length of the leg. Round to the nearest tenth if necessary.

Short Answer

Expert verified

The length of leg is 8.

Step by step solution

01

Given information:

From the given right triangle, we have:

the length of one leg be $" a "$ ,

the length of other leg $b = 6$ ,

and the length of hypotenuse $c = 10$ .

02

Step 2:

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

03

Step 3:

Substitute the given values in the formula,

$a^{2} + 6^{2} = {(10)}^{2}$

04

Step 4:

On simplifying:

$a^{2} + 36 = 100 a^{2} = 100 - 36 a^{2} = 64$

05

Step 5:

Take square root on both sides,

$\sqrt{a^{2}} = \sqrt{64} = \sqrt{8^{2}} a = 8$

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Most popular questions from this chapter

In the following exercises, find (a) the amount of discount and (b) the discount rate (Round to the nearest tenth of a percent if

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$9 p > 14 p - 18$

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See all solutions

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