Question

A triangle has two medians of length 15 and 9. what is its maximum possible area?​

Answer 1

Answer:

12

Step-by-step explanation:

15+9÷2 then the the maximum possible area is 12

Answer 2

Answer:

the maximum triangle area = (4/3)(67.5) = 90 s.u.

Step-by-step explanation:

Let the third median be x units long. Area of triangle formed by the medians,

A =[(x/2+12)(x/2+12-x)(x/2+12-9)(x/2+12-15)]^(1/2).

It may be verified that the area is maximized at x=3√34 which yields A = 67.5 and this, in turn, means the maximum triangle area = (4/3)(67.5) = 90 s.u.