Question

Let a and be lengths of the base edges of the trapezoid, where a > b . Prove given statements: a) The length of the line segment connecting the midpoints of the legs of trapezoid is a+b 2 . b) The length of the line segment parallel to the base edges of the trape zoid, that divides the trapezoid into two trapezoids with equal areas, is sqrt((a ^ 2 + b ^ 2)/2) c) The length of the line segment parallel to the base edges of the trape zoid, that divides the trapezoid into two similar trapezoids , is sqrt(ab) . d) The length of the line segment parallel to the base edges of the tra pezoid, passing through the intersection of the diagonals of the tra pezoid, is 2/(1/a + 1/b) The lengths given above have specific names . How are four given lengths called?

Answer 1

Answer: Such a big question...