In an isosceles triangle, the base is 13, and the height is equal to the line segment

In an isosceles triangle, the base is 13, and the height is equal to the line segment connecting the midpoints of the segment. to find area of a triangle.

Since the points K and M are the midpoints of the lateral sides AB and CB, the KM segment is the middle line of the triangle ABC.

Since the middle line of the triangle is equal to half the length of the side parallel to it, then KM = AC / 2 = 13/2 = 6.5 cm.

By condition, the height ВH = KM = 6.5 cm.

Then the area of the triangle will be equal to:

Savs = AC * ВН / 2 = 13 * 6.5 / 2 = 42.25 cm2.

Answer: The area of the triangle is 42.25 cm2.