(1) In AABC, seg AD is a median, BC = 18 and AB2+ AC2 = 324. Find the length of median.
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Step-by-step explanation:
AD is the median of length=9cm
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Step-by-step explanation:
IN ∆ ABC,
AB^2+CA^2= 324.
BC = 18.
AD = ?
AD is a median of a triangle.
: BC = 2BD .
BD = BC÷ 2
= 18 / 2.
BD = 9.
therefore by Apollonius theorem.,
AB^ 2 + AC^ 2= AD^2 + BD^2
324= AD^2 + (9) ^ 2
324= AD^ 2 + 81
324 - 81 = AD^ 2
AD^ 2= 243
taking square root to both side.
: AD = ~15.59 Unit
length of median is approximately 15. 59 unit.
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