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A ΔABC can be constructed in which ∠B =105°, ∠C = 90° and AB +BC + CA = 10 cm.
Here, ∠B = 105°, ∠C = 90°
and AB + BC + CA = 10cm
We know that, sum of angles of a triangle is 180°.
∠A + ∠B + ∠C = 180°
Here, ∠B + ∠C = 105°+90°
= 195° >180° which is not true.
Thus, ΔABC with given conditions cannot be constructed.