Question

The figures are similar. Find the missing length.Round to the nearest thousandth ​

Answer 1

Answer:

The missing x = 0.675 m

Step-by-step explanation:

In similar triangles, the corresponding sides are proportion (means their ratios are equal)

In the given figure

∵ The two triangles are similar

∴ Their corresponding sides are proportion

∵ The sides of lengths 1.8 m and x are corresponding sides

∵ The sides of lengths 8.0 m and 3.0 are corresponding sides

∴ $\frac{1.8}{x}$ = $\frac{8.0}{3.0}$

→ By using cross multiplication

∴ x × 8.0 = 1.8 × 3.0

∴ 8x = 5.4

→ Divide both sides by 8

∵ $\frac{8x}{8}$ = $\frac{5.4}{8}$

∴ x = 0.675

→ No rounding because there is no digit after the thousandth digit

∴ x = 0.675 m