Find the length of a diagonal of a rectangle if the length of the rectangle is 24 cm and its width is 10 cm.
Responses
A22 cm
22 cm
B26 cm
26 cm
C34 cm
34 cm
D36 cm
36 cm
E324 cm
The length of the diagonal of a rectangle can be found using the Pythagorean theorem, which states that the square of the length of the diagonal is equal to the sum of the squares of the length and width of the rectangle.
Diagonal^2 = Length^2 + Width^2
Diagonal^2 = 24^2 + 10^2
Diagonal^2 = 576 + 100
Diagonal^2 = 676
Taking the square root of both sides:
Diagonal = √676
Diagonal = 26 cm
So, the correct answer is B) 26 cm.