Question

Найдите площадь равнобедренного треугольника,если его основание равно 16,а боковая сторона 10?

Answer 1

По формуле Герона S=√р(р-а)(р-b)(р-с), р=(10+10+12)/2=16, S=√16(16-10)(16-10)(16-12)=√16·6·6·4=4·6·2=48 cм²

Answer 2

Calculating the Area of an Isosceles Triangle

To find the area of an isosceles triangle, we can use the formula:

Area = (1/4) * √(4 * a^2 - b^2) * b

Where: - a is the length of the base - b is the length of one of the equal sides

Given that the base of the triangle is 16 and the length of one of the equal sides is 10, we can calculate the area using the formula.

Calculation

Using the given values: - a = 16 - b = 10

We can calculate the area using the formula: Area = (1/4) * √(4 * 16^2 - 10^2) * 10

Substituting the values: Area = (1/4) * √(4 * 256 - 100) * 10 Area = (1/4) * √(1024 - 100) * 10 Area = (1/4) * √924 * 10 Area = (1/4) * 30.396 * 10 Area = 7.599 * 10 Area = 75.99 square units

So, the area of the given isosceles triangle is 75.99 square units.