In an isosceles triangle, the angle at the base is 45 °, the base is 8dm. Calculate the area of the triangle.

Let’s mentally draw the height to the base of our geometric figure.

As we know from the current school curriculum, it will simultaneously be the median in this type of triangles.

Let us determine how many decimeters will equal half the base, when we know that it is eight decimeters:

8: 2 = 4.

Let’s determine what the height will be if we know that the angle at the base is 45 °:

tg 45 ° = 1;

1 * 4 = 4;

Let’s determine what the area is equal to:

4 * 8: 2 = 16.

Answer: 16 dm2.