Chapter 8: Q11. (page 292)

Find the value of $x$ from the given figure.

Short Answer

Expert verified

The value of $x$ is $8 \sqrt{2}$ .

Step by step solution

Step 1. Given information.

The given figure is observed that a rectangle.

Step 2. Theorem used.

We use Pythagoras Theorem.

Pythagoras Theorem state that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of other sides.

Step 3. Now find the value.

The opposite sides of the rectangle are equal.

$\begin{array}{l} A B = 8 \\ D C = 8 \end{array}$

Calculation:

In $Δ B D C$ .

We use Pythagoras Theorem.

$\begin{array}{l} x^{2} = 8^{2} + 8^{2} \\ x^{2} = 64 + 64 \\ x^{2} = 128 \end{array}$

Taking square root we get.

$\begin{array}{l} x = \pm \sqrt{128} \\ x = \pm \sqrt{8 \times 8 \times 2} \\ x = \pm 8 \sqrt{2} \end{array}$

Since, distance is a positive quantity so we neglect negative sign.

Therefore, the value of $x$ is $8 \sqrt{2}$ .

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Find the value of $x$ from the given figure.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Theorem used.

Step 3. Now find the value.

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Find the value of x from the given figure.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Theorem used.

Step 3. Now find the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Mechanics Maths

Pure Maths

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the value of $x$ from the given figure.