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.
Is it possible to construct a triangle with lengths of its sides as 4 cm, 3 cm and 7 cm? Give reason for your answer.
“If two angles and a side of one triangle are equal to two angles and a side of another triangle, then the two triangles must be congruent.” Is the statement true? Why?
“If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then the two triangles must be congruent.” Is the statement true? Why?
In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆ PQR should be equal to side BC of ∆ ABC so that the two triangles are congruent?
Give reason for your answer.
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