Question

Apply the Pythagorean theorem to find the length of the diagonal of the square round your answer to the nearest hundredth b (1,4) c( 4,4) A(1,2) b(3,2)

Answer 1

To find the length of the diagonal of the square, we can use the distance formula between the points A(1, 2) and C(4, 4).

The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)

Applying the formula, we have:
d = √((4 - 1)^2 + (4 - 2)^2)
d = √(3^2 + 2^2)
d = √(9 + 4)
d = √13

Rounding to the nearest hundredth, the length of the diagonal of the square is approximately 3.61.