1.

Find the area of a triangle whose sides are 17 cm, 8 cm and 15 cm long.

Answer»

`75 cm^2`
`60 cm^2`
`45 cm^2`
`120 cm^2`

SOLUTION :Let a=17 cmb=8 cm and c=15 cm
`:. " " s=(a+b+c)/(2) = (17+8+15)/(2) cm = 20 cm`
By using Heron's formula,
AREA `=SQRT(s(s-a)(s-b)(s-c))`
`=sqrt(20(20-17)(20-8)(20-15))`
`=sqrt(20xx3xx12xx5)`
`=sqrt(4xx5xx3xx4xx3xx5)`
`=4xx3xx5`
`=60 cm^(2)`


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