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4-9.

Assume that the shapes at right are similar. Find the values of , , and .  

2 5-sided similar figures. Starting at the base and going clockwise, the larger figure has sides, 10, 12, x, 6, unknown. For the smaller figures, the sides are, z, 8, 6, y, and unknown.

For each of the variables, set up equivalent ratios with corresponding sides of known value.

Several ratios are possible, especially as the lengths of additional sides are found.

Solve for by first multiplying both sides of the equation by the lowest common denominator.