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Find the area of a triangle whose vertic...

Find the area of a triangle whose vertices are `A(3,2),B(11 ,8)a n dC(8,12)dot`

Text Solution

Verified by Experts

The area of triangle is
`A=(1)/(2)||underset(8" "12" "1)underset(11" "8" "1)(3" "2" "1)||`
Operating `R_(1) to R_(2) " and " R_(2) to R_(3) ` we get
`A=(1)/(2) ||underset(8" "12" "1)underset(3" "-4" "0)(-8" "-6" "0)||=(1)/(2)|underset(2" "-4)(-8" "-6)|=25 " sq. units"`
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