Question

Одна из сторон прямоугольника равна 7 см а диагональ 25 см. Чему равна вторая сторона прямоугольника?

Answer 1

По ьеореме Пифагора: 25²-7²=625-49=√576=24

Answer 2

Диагональ делит прямоугольник на 2 прямоугольных треугольника. А пот теореме Пифагора 25^2=а^2+7^2.
а=√25^2-7^2=√625-49=√576=24см.

Answer 3

Calculating the Second Side of a Rectangle

To find the second side of the rectangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Given: - One side of the rectangle = 7 cm - Diagonal of the rectangle = 25 cm

Using the Pythagorean theorem, we can calculate the second side of the rectangle.

Calculation

Let's denote the second side of the rectangle as b.

According to the Pythagorean theorem: \[ a^2 + b^2 = c^2 \] Where: - \( a = 7 \) (one side of the rectangle) - \( c = 25 \) (diagonal of the rectangle)

Substituting the given values: \[ 7^2 + b^2 = 25^2 \] \[ 49 + b^2 = 625 \] \[ b^2 = 625 - 49 \] \[ b^2 = 576 \] \[ b = \sqrt{576} \] \[ b = 24 \]

Answer: The second side of the rectangle is 24 cm.