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    				| 1. | Try to draw triangles with the following data. Can you draw these triangles. If not, look for the reason why you could not draw so.i. ∆ABC in which m∠A = 85° , m∠B = 115° , l(AB) = 5cm.ii. ∆PQR in which l(QR) = 2cm, l(PQ) = 4cm, l(PR) = 2cm. | 
| Answer» i. m∠A + m∠B = 85° + 115° = 200°>180° But the sum of the measures of the angles of a triangle is 180° Hence, ∆ABC cannot be drawn. ii. l(QR) + l(PR) = 2 cm + 2cm = 4 cm = l(PQ) But in a triangle, the sum of the length of any two sides of a triangle is always greater than the length of the third side. Hence, ∆PQR cannot be drawn. | |