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In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm, then which of the following is true
  • a)
    ΔABC ≅ Δ PQR
  • b)
    ΔABC ≅ Δ QRP
  • c)
    ΔABC ≅ Δ RPQ
  • d)
    ΔABC ≅ Δ QPR
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7....
The triangles are congruent.
b) The triangles are similar.
c) The triangles are neither similar nor congruent.

Solution:
We can see that the three sides of triangle ABC have lengths 3.5 cm, 7.1 cm, and 5 cm. These lengths satisfy the conditions for a right triangle, so we can conclude that angle BAC is a right angle. Similarly, we can see that angle QPR is a right angle.

We also notice that the lengths of the sides in triangles ABC and PQR are exactly the same. This means that the triangles have the same shape and size, and are congruent. Therefore, the correct answer is (a) the triangles are congruent.
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Community Answer
In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7....
C
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In triangles ABC and PQR, AB = 3.5 cm, BC = 7.1 cm, AC = 5 cm, PQ = 7.1 cm, QR = 5 cm and PR = 3.5 cm, then which of the following is truea)ΔABC ≅ Δ PQRb)ΔABC ≅ Δ QRPc)ΔABC ≅ Δ RPQd)ΔABC ≅ Δ QPRCorrect answer is option 'C'. Can you explain this answer?
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