Chapter 9.6, Problem 6PSA

To determine

To Calculate: The length of diagonal of the rectangle ABCD

Answer to Problem 6PSA

Thelength of diagonal of the rectangle ABCD is $52$

Explanation of Solution

Given information:

Sides of rectangle are $20$ and $48$

Formula used:Here, we are using Pythagoras theorem

  ${\left(Hypotenuse\right)}^2={\left(perpendicular\right)}^2+{\left(base\right)}^2$

Calculation:

  

Here, the formula is

  ${\left(Hypotenuse\right)}^2={\left(perpendicular\right)}^2+{\left(base\right)}^2$

  ${\left(AC\right)}^2={\left(AB\right)}^2+{\left(BC\right)}^2$

  →${\left(AC\right)}^2={\left(48\right)}^2+{\left(20\right)}^2$

  →${\left(AC\right)}^2=2304+400$

  →$AC=52$

Conclusion: Hence,length of diagonal of the rectangle ABCD is $52$