Question

6cm 8cm and 10cm is the median of triangle what are the area of triangle​

Answer 1

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let the medians of triangle are,

a = 6cm

b= 8cm

c= 10cm

we have to use the herons formula

Area of triangle=4/3[s{(s-a) (s-b) (s-c) }]

first of all find the s [semiperimeter ]

⚫s = 1/2 [ a + b + c ]

= 1/2 [ 6 + 8 + 10 ]

= 1/2 [ 24 ]

= 12 cm

$\boxed{\textbf{\large{s=12cm}}}$

So,

Area of triangle

= 4/3 [ {12(12-6)(12-8)(12-10)}]

= 4/3 [12( 6 x 4 x 2 )]

= 4/3 [ 12 X 48 ]

= 4/3 [576]

= 4 X 192

= 768 cm

Area of triangle is

$\boxed{\textbf{\large{768cm}}}$