1.

Find the lengths of the medians AD and BE of `Delta ABC` whose vertices are A(7, -3), B(5, 3) and C(3, -1).

Answer» Correct Answer - AD = 5 units, BE = 5 units
Midpoint of BC is `D((5+3)/(2), (3-1)/(2)), i.e., D(4, 1)`
Midpoint of AC is `E((7+3)/(2), (-3-1)/(2)), i.e., E (5, -2)`
`AD = sqrt((7-4)^(2) + (-3-1)^(2)) = sqrt(3^(2) + (-4)^(2)) = sqrt(25) = 5` units.
`BE = sqrt((5-5)^(2) + (3+2)^(2)) = sqrt(0+25) = sqrt(25) = 5` units.


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