Question

Знайдіть бічну сторону рівнобічної трапеції, основи якої дорівнюють 14 см і 18 см, а діагоналі перпендикулярні до бічних сторін.

Answer 1

За днною умовою можливо знайти лише середню лінію!!!
(14+18):2=16 Це точно вся умова!!!!!!

Answer 2

Finding the Length of the Lateral Side of an Isosceles Trapezoid

To find the length of the lateral side of an isosceles trapezoid, we need to use the given information about the bases and the diagonals.

Let's denote the length of the lateral side as 'x'. We are given that the bases of the trapezoid are 14 cm and 18 cm, and the diagonals are perpendicular to the lateral sides.

To solve for 'x', we can use the properties of an isosceles trapezoid. In an isosceles trapezoid, the diagonals are congruent, and the lateral sides are congruent as well.

We can set up the following equation based on the given information:

14 cm + 18 cm + 2x = 2 * diagonal length

Since the diagonals are perpendicular to the lateral sides, we can use the Pythagorean theorem to find the length of the diagonal. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the length of the diagonal as 'd'. We can set up the following equation:

d^2 = 14^2 + x^2

Since the diagonals are congruent, we can also set up the following equation:

d^2 = 18^2 + (14 + x)^2

Now we have a system of two equations with two variables (d and x). We can solve this system of equations to find the values of 'd' and 'x'.

Unfortunately, the search results provided by You.com do not contain the necessary information to solve this problem. However, you can try solving the system of equations using the given information and the properties of an isosceles trapezoid.