Question

В равнобедренном треугольнике высота, проведённая к основанию, равна 12 см. Найдите боковую сторону, если основание треугольника равно 10 см. 1)12 см. 2)13 см. 3)10 см. 4)2 корень из 11 см. решите пожалуйста мне срочно нужно

Answer 1

3 ответ правильный!!!

Answer 2

Finding the Side Length of an Isosceles Triangle

To find the length of the side of an isosceles triangle, we can use the Pythagorean theorem. In an isosceles triangle, the two congruent sides are the legs, and the third side is the base. The height of the triangle is perpendicular to the base.

Given that the height of the triangle is 12 cm and the base is 10 cm, we can find the length of the side using the Pythagorean theorem.

Let's denote the length of the side as x.

Using the Pythagorean theorem, we have:

x^2 = (1/2 * 10)^2 + 12^2

Simplifying the equation:

x^2 = 25 + 144

x^2 = 169

Taking the square root of both sides:

x = 13 cm

Therefore, the length of the side of the isosceles triangle is 13 cm.

So, the correct answer is 2) 13 cm