Question

Which of the following is NOT the length of a median in triangle ABC with vertices A(-1,3), B(1,1) and C(5,1)?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

The median points can be given as E(0,2), F(2,2), D(3,1)
so, length(CE) = $(5^2+(-1{)}^2{)}^{\frac{1}{2}}=\sqrt{26}$
​length(BF) = $(1^2+1^2{)}^{\frac{1}{2}}=\sqrt{\left(2\right)}$
length(AD) = $(4^2+(-2{)}^2{)}^{\frac{1}{2}}=\sqrt{\left(20\right)}=2\sqrt{\left(5\right)}$