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
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.
