Question

Сторона ромба равна на 100 м, одна из диагоналей равна 16 дм.Найти вторую диагональ?

Answer 1

Finding the Second Diagonal of a Rhombus

To find the second diagonal of a rhombus, we can use the formula:

Second Diagonal = 2 * (sqrt((Side/2)^2 + (Diagonal/2)^2)).

Given that the side of the rhombus is 100 m and one of the diagonals is 16 dm, we need to convert the diagonal to meters before using the formula.

Converting 16 dm to meters, we get:

16 dm = 1.6 m.

Now, we can substitute the values into the formula:

Second Diagonal = 2 * (sqrt((100/2)^2 + (1.6/2)^2)).

Simplifying the equation:

Second Diagonal = 2 * (sqrt(50^2 + 0.8^2)).

Calculating the values inside the square root:

Second Diagonal = 2 * (sqrt(2500 + 0.64)).

Simplifying further:

Second Diagonal = 2 * (sqrt(2500.64)).

Taking the square root:

Second Diagonal ≈ 2 * 50.0063992.

Calculating the value:

Second Diagonal ≈ 100.0127984 m.

Therefore, the second diagonal of the rhombus is approximately 100.0127984 meters.