Chapter 8: Q14. (page 291)

State an equation you could use to find the value of $x$ . Then find the value of $x$ in simplest radical form.

Short Answer

Expert verified

The required value of $x$ is,

$x = \sqrt{52}$ .

Step by step solution

Step 1. Given information.

We have given a figure as shown below

Step 2. Use Pythagorean Theorem concept.

From Pythagorean Theorem,

we know that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

The given triangle is right triangle.

Therefore,

$\begin{array}{l} 4^{2} + 6^{2} = x^{2} \\ 16 + 36 = x^{2} \\ 52 = x^{2} \end{array}$

Step 3. Taking square root.

we get,

$x = \pm \sqrt{52}$

Step 4. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

The required value of $x$ is, $x = \sqrt{52}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

State an equation you could use to find the value of $x$ . Then find the value of $x$ in simplest radical form.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use Pythagorean Theorem concept.

Step 3. Taking square root.

Step 4. Neglect negative sign.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Logic and Functions

Theoretical and Mathematical Physics

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

State an equation you could use to find the value of x. Then find the value of x in simplest radical form.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Use Pythagorean Theorem concept.

Step 3. Taking square root.

Step 4. Neglect negative sign.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Logic and Functions

Theoretical and Mathematical Physics

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

State an equation you could use to find the value of $x$ . Then find the value of $x$ in simplest radical form.