Question

given the perimeter pf a triangle is 20 cm , then possible length of median AD cannot be a -7cm b-5 cm c-9.5cm d-10 cm​

Answer 1

If perimeter of a triangle is 20 cm then possible length of median AD cannot be 10 cm

Step-by-step explanation:

Let say ABC is triangle & AD is Median

Then in Δ ABD

AB  + BD > AD   ( as sum of two sides of a triangle > third side)

similarly in Δ ACD

AC + CD > AD

Adding Both

=> AB + BD + AC + CD > AD + AD

BD + CD = BC

=> AB + AC + BC > 2AD

=> 20 > 2AD

=> AD < 10

length of median AD  < 10

=> possible length of median AD cannot be 10 cm