Question

Найдите боковую сторону равно бедренной трапеции, если ее основания равны 13 и 23 а высота равна 12

Answer 1

Допустим треуг. АВС. АС= 13+23= 36 ( см ).  Найдем Периметр ( Р ) = одна-вторая * 12 *36 =192 Периметр мы нашли по формуле. Теперь 192 - 36=156. И найдем стороны 156 : 2 = 76 (см). Т.к  АВС равнобедренный треугольник то, АВ=ВС=76 см

Answer 2

Finding the Side Length of an Isosceles Trapezoid

To find the length of the lateral side of an isosceles trapezoid, we need to know the lengths of its bases and the height. In this case, the bases are given as 13 and 23, and the height is given as 12.

Let's denote the lateral side as x.

To find x, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In this case, we can consider the trapezoid as a right triangle by drawing a perpendicular line from one of the bases to the other base. The length of this perpendicular line is equal to the height of the trapezoid.

Using the Pythagorean theorem, we can set up the following equation:

x^2 = (23 - 13)^2 + 12^2

Simplifying the equation:

x^2 = 10^2 + 12^2

x^2 = 100 + 144

x^2 = 244

Taking the square root of both sides:

x = √244

Calculating the value of x:

x ≈ 15.62

Therefore, the lateral side of the trapezoid is approximately 15.62 units long.