In an isosceles triangle, the height is drawn to the base. Find the side of the triangle, if the height is 9 m, the base is 24 m.

The height drawn to the base of the isosceles triangle divides the base into two equal segments. The angle between the base and the height is 90 °. Then, in a right-angled triangle formed by the height, half the base and the side, the lateral side is the hypotenuse, conventionally – c):
c = √ (9 ^ 2 + 12 ^ 2) = √225 = 15 m.