# Chapter 6 - Section 6.5 - Congruent and Similar Triangles - Exercise Set: 50

12 ft, 18 ft, 24 ft

#### Work Step by Step

Write a proportion using the given scale. Cross multiply to solve for x. $\frac{\frac{1}{4}in}{1ft}=\frac{3in}{x\ ft}$ $\frac{1}{4}\times x=3\times 1$ $\frac{1}{4}x=3$ $\frac{1}{4}x\times4=3\times4$ $x=12$ $\frac{\frac{1}{4}in}{1ft}=\frac{4\frac{1}{2}in}{x\ ft}$ $\frac{1}{4}\times x=4\frac{1}{2}\times 1$ $\frac{1}{4}x=\frac{9}{2}$ $\frac{1}{4}x\times4=\frac{9}{2}\times4$ $x=\frac{36}{2}$ $x=18$ $\frac{\frac{1}{4}in}{1ft}=\frac{6in}{x\ ft}$ $\frac{1}{4}\times x=6\times 1$ $\frac{1}{4}x=6$ $\frac{1}{4}x\times4=6\times4$ $x=24$

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