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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

01

Step 1. Given information.

The rectangle has length 2.4 and width 1.8.

02

Step 2. Concept used.

  1. A Rectangle have opposite sides are equal and each interior angle is right angle.
  2. Pythagoras Theorem state that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of other sides.
03

Step 3. Now find the diagonal.

First we draw a rectangle of length 2.4and width 1.8and labeled 鈻�ABCD.

In 螖ADC.

We use Pythagoras Theorem.

x2=1.82+2.42x2=3.24+5.76x2=9

Taking square root we get.

x=卤9=卤3

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

Therefore, the value of xis3.

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