Question

5. AM is a median of a triangle ABC. Is AB + BC + CA > 2 AM?
(Consider the sides of triangles ΔABM and ΔAMC.)
6. ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, find BC.

Answer 1

Answer:

5. we know,

In a triangle sum of two sides is greater than the third side

Hence,In triangle ABM

AB + BM > AM .........1

Also in triangle ACM

AC + MC > AM ..........2

Adding equation 1 and 2 we get,

AB + BM + AC + MC > AM + AM

AB + AC + (BM + MC) > 2AM

AB + AC + BC > 2AM

Answer 2

Answer:

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