In the figure below, triangle abc is similar to triangle pqr: a right triangle abc with right angle at b and base bc is drawn. length of ab is 6, length of bc is 8. a similar right triangle; triangle pqr, which is triangle abc enlarged and reflected across a horizontal line, is drawn near it. the right angle is at q. angle a is congruent to angle p and angle c is congruent to angle r. the length of qr is 24. what is the length of side pq? 18 4 32 6

PQ = 18 unit.

Explanation: Since, according to question, .

Therefore, by the property of similar triangles the ratio of corresponding sides must be equal.

Here, The right angle are at A in and at Q in respectively.

Moreover,   is congruent to and is congruent to .

Therefore, AB, BC and AC are corresponding to sides PQ, QR and PR respectively.

Thus, we can write,

⇒

⇒ ( because, here, AB= 6, BC=8 and QR=24)⇒  PQ=18

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