Question

Площадь равнобедренного треугольника равна 12см², периметр -16 см и высота-4см. Какова длина боковой стороны?

Answer 1

Основание АС, высота ВК. S ABC = 1/2АС×ВК=12 1/2АС×4=12; АС=6 см Р АВС=АВ+ВС+АС=16 см т.к. треугольник АВС-равнобедренный, значит АВ=ВС 2АВ+6=16; АВ=5 см Ответ: АВ=5 см.

Answer 2

Calculation of the Length of the Side of an Isosceles Triangle

To find the length of the side of an isosceles triangle, we can use the given information about the area, perimeter, and height of the triangle.

Given: - Area of the triangle = 12 cm² - Perimeter of the triangle = 16 cm - Height of the triangle = 4 cm

Let's denote the length of the base and the length of the equal sides of the triangle as b and s, respectively.

To find the length of the side of the triangle, we can use the formula for the area of a triangle:

Area = (base * height) / 2

Substituting the given values, we have:

12 = (b * 4) / 2

Simplifying the equation, we get:

24 = b * 4

b = 24 / 4 = 6 cm

Now, let's use the formula for the perimeter of a triangle:

Perimeter = base + 2 * side

Substituting the given values, we have:

16 = 6 + 2 * side

Simplifying the equation, we get:

2 * side = 16 - 6 = 10

side = 10 / 2 = 5 cm

Therefore, the length of the side of the isosceles triangle is 5 cm.

Answer:

The length of the side of the isosceles triangle is 5 cm.