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(i) Given are 4 sets of triangle constructions. Identify which of these following triangles cannot be constructed. Give reasons for each of them.1. ∠ A = 60∘, AB= 4 cm, AC = 5 cm2. PQ = 4 cm, QR = 5 cm, RP = 11 cm3. D = 90∘ , EF = 13 cm, DE = 5 cm4. S = 90∘, T = 120∘, ST = 5 cm(ii) Also, construct a right angled △ PQR, where measure of ∠Q=90∘, QR = 8 cm and PR = 10 cm.

Answer» (i) Given are 4 sets of triangle constructions. Identify which of these following triangles cannot be constructed. Give reasons for each of them.



1. A = 60, AB= 4 cm, AC = 5 cm

2. PQ = 4 cm, QR = 5 cm, RP = 11 cm

3. D = 90 , EF = 13 cm, DE = 5 cm

4. S = 90, T = 120, ST = 5 cm



(ii) Also, construct a right angled PQR, where measure of Q=90, QR = 8 cm and PR = 10 cm.


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