AM is a median of a triangle ABC.
Is AB+BC+CA> 2 AM? (Consider the sides of triangles `triangleABM` triangleAMC`.)

AD is a median of DeltaABC . Is AB + BC + CA gt 2AD ?

AD is a median of the triangle ABC. Is it true that AB+BC+CA>2AD? Give reasond for your answer.

In a triangle ABC, 2ca sin frac(A-B+C)(2) =

ABC is an isosceles triangle with AC = BC. If AB^2 = 2AC^2 , prove that ABC is right triangle.

Construct a triangle ABC in which AB= BC = 6.5 cm and CA = 4 cm . Also name the kind of triangle drawn .

If the median AD of a triangle ABC makes an angle theta with side, AB, then sin(A-theta) is equal to

E is any point on median AD of a triangle ABC . Show that ar (ABE) = ar (ACE).

Two sides AB and BC and median AM of one triangle ABC are respectively equal to sides PQ and QR are median PN of trianglePQR . Show that triangleABCequivtrianglePQR

Sides AB and BC and median AD of a triangle ABC are respectively proportional to sides PQ and QR and median PM of trianglePQR (see Fig.). Show that triangleABC ~ trianglePQR . .

AL, BM and CN are perpendicular from angular points of a triangle ABC on the opposite sides BC, CA and AB respectively. Delta is the area of triangle ABC, (r ) and R are the inradius and circumradius. Radius is the circum circle of Delta LMN is