ABC is an isosceles triangle with AB = AC and BD and CE are its two medians. Show that BD = CE.
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.
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.
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.
AD is a median of the triangle ABC. Is it true that AB + BC + CA > 2 AD? Give reason for your answer.
In ∆ PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is the longest? Give reason for your answer.
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