Mathematics

Problem

\triangle ABC

AB = 8\,\text{cm}

AC = 12\,\text{cm}

and

\angle A = 65^{\circ}

. In another triangle

PQR

\angle P = 65^{\circ}

PR = 15\,\text{cm}

and

PQ = x\,\text{cm}

. It is known that the two triangles are similar. a. (i) Write the proportion relating the pairs of corresponding sides that include the equal angles. b. (ii) Calculate the value of

x

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