Chapter 8: Q1. (page 292)

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

Short Answer

Expert verified

The required value of $x$ is $x = 5 \cdot$

Step by step solution

Step 1. Given information:

We have two known adjacent sides with right angle as shown in figure.

Step 2. Concept used:

We use a Pythagoras Theorem.

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

Step 3. Now find the value:

The given triangle is right triangle.

Therefore,

$\begin{matrix} 3^{2} + 4^{2} = x^{2} \\ 9 + 16 = x^{2} \\ 25 = x^{2} \end{matrix}$

Taking square root we get.

$\begin{matrix} x = \pm \sqrt{25} \\ = \pm 5 \end{matrix}$

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

$x = 5$

Step 4. Final answer:

The value of $x$ is $5$ .

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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. Concept used:

Step 3. Now find the value:

Step 4. Final answer:

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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. Concept used:

Step 3. Now find the value:

Step 4. Final answer:

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Study anywhere. Anytime. Across all devices.

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