Answer: 8.94 is the length of GI
Step-by-step explanation: The two triangles are similar, so the ratios of the sides to each other will be the same.
the unknown length of GI in triangle FIG corresponds to the known length 20 of IH in Triangle GIH, and the known length 4 of side FI in triangle FIG corresponds to GI in Triangle GIH. So the ratio looks like 4:x as x:20
4/x = x/20 multiply both sides by x and 20 to "cancel" the denominators.
20x(4/x) = 20x(x/20)
80 = x² Calculate the square roots
√x² = x . √80 = 8.94
