Find the area of an isosceles triangle with a base of 15 and legs that are 10 each. (

Answer 1

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

Area = 0.5 * base * height

In this case, the base of the triangle is 15 and the height can be found using the Pythagorean theorem since the triangle is isosceles.

The height (h) of the triangle can be calculated as follows:

h^2 = 10^2 - (0.5*15)^2
h^2 = 100 - 112.5
h^2 = 12.5
h = √12.5
h ≈ 3.54

Now we can find the area of the isosceles triangle:

Area = 0.5 * 15 * 3.54
Area = 22.05

Therefore, the area of the isosceles triangle is 22.05 square units.