SOLUTION: If the lengths of the three sides of a triangle are 6cm,8cm,10cm, then the length of the median to its great side is? (a) 8cm (b) 6cm (c) 5cm (d) 4.8cm

Algebra ->  Triangles -> SOLUTION: If the lengths of the three sides of a triangle are 6cm,8cm,10cm, then the length of the median to its great side is? (a) 8cm (b) 6cm (c) 5cm (d) 4.8cm      Log On


   

Question 981012: If the lengths of the three sides of a triangle are 6cm,8cm,10cm, then the length of the median to its great side is?
(a) 8cm
(b) 6cm
(c) 5cm
(d) 4.8cm
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if a=6cm,b=8cm,and c=10cm, then the length of the median to its great side is:
m%5Bc%5D=%281%2F2%29sqrt%282a%5E2%2B2b%5E2-c%5E2%29
m%5Bc%5D=%281%2F2%29sqrt%282%286cm%29%5E2%2B2%288cm%29%5E2-%2810cm%29%5E2%29
m%5Bc%5D=%281%2F2%29sqrt%282%2A36cm%5E2%2B2%2A64cm%5E2-100cm%5E2%29
m%5Bc%5D=%281%2F2%29sqrt%2872cm%5E2%2B128cm%5E2-100cm%5E2%29
m%5Bc%5D=%281%2F2%29sqrt%2872cm%5E2%2B28cm%5E2%29
m%5Bc%5D=%281%2F2%29sqrt%28100cm%5E2%29
m%5Bc%5D=%281%2F2%2910cm
m%5Bc%5D=5cm
so, answer is (c) 5cm