In Delta ABC and Delta PQR,angle A cong angle | vedclass

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(C) Given that in $\Delta ABC$ and $\Delta PQR$,$\angle A = \angle P$ and $\angle B = \angle R$.By the $AA$ (Angle-Angle) similarity criterion,$\Delta

Vedclass · Accepted Answer

$10$

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(C) Given that in $\Delta ABC$ and $\Delta PQR$,$\angle A = \angle P$ and $\angle B = \angle R$.By the $AA$ (Angle-Angle) similarity criterion,$\Delta ABC \sim \Delta PRQ$.Since the triangles are similar,the ratios of their corresponding sides are equal:$\frac{AB}{PR} = \frac{AC}{PQ}$Substitute the given values: $AB = 8$,$PQ = 7.5$,$AC = 6$.$\frac{8}{PR} = \frac{6}{7.5}$$PR = \frac{8 	imes 7.5}{6}$$PR = \frac{60}{6} = 10$.Therefore,$PR = 10$.

In $\Delta ABC$ and $\Delta PQR$,$\angle A \cong \angle P$ and $\angle B \cong \angle R$. If $AB = 8$,$PQ = 7.5$ and $AC = 6$,find $PR$.

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