Respuesta :

imagine a right triangle with legs legnth  9 and 40, and hyptonuse is the diagonal legnth c

a^2+b^2=c^2

9^2+40^2=c^2
81+1600=c^2
1681=c^2
sqrt both sides
41=c

the legnth of the diagonal is 41 units

Answer:

41 units is the length of a diagonal.

Step-by-step explanation:

Length of the rectangle = l = 40 units

Width of the rectangle = b = 9 units

Measurement of diagonal = d

As we know rectangle has foe angles all equal to 90°.So, we can  use Pythagoras theorem to calculate the measurement of the diagonal of the rectangle .

[tex]l^2+b^2=d^2[/tex]

[tex](40 unit)^2+(9 unit)^2=d^2[/tex]

[tex]1600 unit^2+81 unit^2=d^2[/tex]

[tex]d=\sqrt{1600 unit^2+81 unit^2}=\sqrt{1681 unit^2}=41 unit[/tex]

41 units is the length of a diagonal.

Ver imagen Tringa0