Delta ABC sim Delta XYZ for the correspondenc | vedclass

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(B) Given that $\Delta ABC \sim \Delta XYZ$ for the correspondence $ABC \leftrightarrow XYZ$.By the property of similar triangles,the ratios of their

Vedclass · Accepted Answer

$7.5$

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(B) Given that $\Delta ABC \sim \Delta XYZ$ for the correspondence $ABC \leftrightarrow XYZ$.By the property of similar triangles,the ratios of their corresponding sides are equal:$\frac{AB}{XY} = \frac{BC}{YZ} = \frac{AC}{XZ} = k$Using the property of equal ratios (componendo),we have:$\frac{AB + BC}{XY + YZ} = \frac{AC}{XZ}$Substituting the given values:$\frac{7}{10.5} = \frac{5}{XZ}$$XZ = \frac{5 	imes 10.5}{7}$$XZ = \frac{52.5}{7} = 7.5$Therefore,$XZ = 7.5$.

$\Delta ABC \sim \Delta XYZ$ for the correspondence $ABC \leftrightarrow XYZ$. If $AB + BC = 7$,$XY + YZ = 10.5$,and $AC = 5$,then $XZ = \ldots$

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