Chapter 8: Q17. (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,

$x = \sqrt{7}$ .

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,

$\begin{array}{l} x^{2} + x^{2} = {(7 \sqrt{2})}^{2} \\ 2 x^{2} = 49 \times 2 \\ x^{2} = 49 \end{array}$

Step 3. Taking square root.

we get,

$\begin{matrix} x = \pm \sqrt{49} \\ = \pm 7 \end{matrix}$

Step 4. Neglect negative sign.

Since, square root is positive quantity

So, we neglect negative sign.

The required value of $x$ is, $x = \sqrt{7}$ .

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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.

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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

Theoretical and Mathematical Physics

Probability and Statistics

Discrete Mathematics

Logic and Functions

Calculus

Geometry

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.