Chapter 8: Q13. (page 292)

A rectangle has length $2.4$ and width $1.8$ . Find the length of a diagonal.

Short Answer

Expert verified

The length of diagonal is $3$ .

Step by step solution

Step 1. Given information.

The rectangle has length $2.4$ and width $1.8$ .

Step 2. Concept used.

A Rectangle have opposite sides are equal and each interior angle is right angle.
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 diagonal.

First we draw a rectangle of length $2.4$ and width $1.8$ and labeled $□ A B C D$ .

In $Δ A D C$ .

We use Pythagoras Theorem.

$\begin{array}{l} x^{2} = {1.8}^{2} + {2.4}^{2} \\ x^{2} = 3.24 + 5.76 \\ x^{2} = 9 \end{array}$

Taking square root we get.

$\begin{matrix} x = \pm \sqrt{9} \\ = \pm 3 \end{matrix}$

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

Therefore, the value of $x$ is $3$ .

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A rectangle has length $2.4$ and width $1.8$ . Find the length of a diagonal.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Now find the diagonal.

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A rectangle has length 2.4 and width 1.8. Find the length of a diagonal.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Now find the diagonal.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Probability and Statistics

Statistics

Discrete Mathematics

Mechanics Maths

Decision Maths

Study anywhere. Anytime. Across all devices.

A rectangle has length $2.4$ and width $1.8$ . Find the length of a diagonal.