Since side AB corresponds to side PR, their lengths are equal. We are given AB = 6.5 cm, which directly gives PR = 6.5 cm.

Similarly, the first and third letters correspond: side AC corresponds to side PQ. Since PQ = 4.5 cm, we have AC = 4.5 cm. Note that the remaining pair BC = RQ cannot be uniquely determined without additional information.

Similarly, the first and third letters correspond: side AC corresponds to side PQ. Since PQ = 4.5 cm, we have AC = 4.5 cm. Note that the remaining pair BC = RQ cannot be uniquely determined without additional information.

If triangle ABC are equal toh triangle PRQ then prove that they are corresponding AB are 6.5 cm and Pq are 4.5 find other two sides

Answer: By CPCTC, $PR = AB = 6.5\text{ cm}$ and $AC = PQ = 4.5\text{ cm}$ . Side $BC = RQ$ cannot be determined without additional information.

Step-by-step solution

Step 1: Identify corresponding parts of congruent triangles

When two triangles are congruent, their corresponding sides are equal in length by Corresponding Parts of Congruent Triangles (CPCTC). The correspondence order gives vertex $A$ corresponding to $P$ , $B$ corresponding to $R$ , and $C$ corresponding to $Q$ .

Step 2: Determine the length of side PR

Since side $AB$ corresponds to side $PR$ , their lengths are equal. We are given $AB = 6.5\text{ cm}$ , which directly gives $PR = 6.5\text{ cm}$ .

Step 3: Determine the length of side AC

Similarly, the first and third letters correspond: side $AC$ corresponds to side $PQ$ . Since $PQ = 4.5\text{ cm}$ , we have $AC = 4.5\text{ cm}$ . Note that the remaining pair $BC = RQ$ cannot be uniquely determined without additional information.

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