Question

find the area of the triangle whose vertices are (3,4),(1,2),(6,3)​

Answer 1

Answer:

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Step-by-step explanation:

Find the area of a triangle whose vertices are

(6,3), (-3,5) and (4,2)

SOLUTION

We know area of triangle formed by three points (x1y1) , (x2y2), and (x3y3)is given by `triangle=1/2 [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]`

The vertices are given as (6, 3), (−3, 5), (4, −2).

`triangle=1/2[6(5+2)-3(-2-3)+4(3-5)]`

`=1/2 [6xx7-3xx(-5)+4xx(-2)]`

`=1/2[42+15-8]`

`49/2 `sq units