I want to calculate the diameter of a shield which, when placed between the Sun and Earth, would cast a shadow on Earth equal to Earth's diameter essentially totally blocking the Sun. If the shield is to be placed 75% of the way to the Sun and
Base Sun diam = 1 400 000 million Km Base Earth diam = 12 742 Km Legs = 150 000 000 Km
how big would the shield's diameter be?
If the median segment of a trapezoid is ( Base Sun diam + Base Earth diam ) / 2 (50 percent) does this mean that any segment length can be calculated using the percentage of the distance from the segment to any of the 2 bases? if so, what is the exact formula for any "median" segment length in relation to its distance to any of the bases?