The document shows a diagram with two triangles of different sizes but similar proportions. It then uses the triangles to derive a formula that relates the height (H) of a larger triangle to the height (h) of a smaller similar triangle, given the ratios of their bases (D/d). The formula is applied to values in the diagram to calculate the height of the larger triangle as 8.3 meters.
1. h=20cm
d=10cm
H
D=200cm
H= h . ( D / d )
H= 20 ( 200/10 )
H= 20 . 20
H = 400 cm H = 4m
H= h . ( D / d )
H = ??
H = 18 ( 280/6 )
D = 280 cm
H = 18 . 46.666
d = 6 cm
H = 838,8 cm H= 8.3m
h = 18 cm