किसी त्रिभुज की माध्यिका है 12 15 और 18 सेंटीमीटर है उस त्रिभुज का क्षेत्रफल बताइए
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Step-by-step explanation:
area of a triangle whose medians are a, b and c is given by
__________
A = (4/3)√s(s-a)(s-b)(s-c),
where s= (a+b+c)/2
a= 12 cm, b= 15 cm and c = 18 cm
s= (12+15+18)/2 = 45/2
___________________________
area = (4/3)√(45/2)*((45/2-12)*(45/2-15)*(45/2-18)
_________________
= (4/3)*√ (45/2)*(21/2)*(15/2)*(9/2)
= (4/3)*(1/4)*9*5*3*√7
= 9*5*√7
= 45√7 sqcm
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