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Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be
AD is a median of the triangle ABC. Is it true that AB + BC + CA > 2 AD? Give reason for your answer.
M is a point on side BC of a triangle ABC such that AM is the bisector of ∠BAC. Is it true to say that perimeter of the triangle is greater than 2 AM? Give reason for your answer.
Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.
Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.
S is any point on side QR of a ∆ PQR. Show that: PQ + QR + RP > 2 PS.
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