Question

У рівнобедренному трикутнику основа дорівнює 12 см, а бічна сторона -10 см. Знайдіть площу трикутника.

Answer 1

Х см - высота (катет треугольника)
х^2+6^2=10^2
х^2=100-36
x=√64
х=8
S=1/2(высота*основание)=1/2*96=48 см2

Answer 2

H - Высота = 8 (по теореме Пифагора)
S - площадь = (Н*основание):2 = (8*12):2 = 48

Answer 3

Finding the Area of an Isosceles Triangle

To find the area of an isosceles triangle, we can use the formula: Area = (base * height) / 2

Given: - Base = 12 cm - One of the equal sides = 10 cm

Calculation

Using the given information, we can calculate the height of the triangle using the Pythagorean theorem, as the triangle is isosceles.

The formula for the height (h) of an isosceles triangle with sides a, b, and base c is: h = √(a^2 - (c/2)^2)

Substituting the given values: h = √(10^2 - (12/2)^2) h = √(100 - 36) h = √64 h = 8 cm

Now, we can calculate the area using the formula: Area = (12 * 8) / 2 Area = 48 square cm

So, the area of the given isosceles triangle is 48 square cm.