In an isosceles triangle, the side is 8√2 and the base is 45 degrees, find the height of the triangle dropped to the base.

Through the median formula.

In an isosceles triangle, the height dropped to the base is also the bisector and median.

We know that the bisector divides the angle in half hence <B = 90 ° and triangle ABC is right-angled.

To find the median of a right-angled triangle of a triangle omitted from a right angle, there is a formula:

BH = 1/2 * √ (AB ^ 2 + BC ^ 2) = 1/2 * √ (2 * AB ^ 2) = 1/2 * AB * √2 = 8√2 * (√2) / 2 * 1 = 8cm

Answer: 8 cm