Five mark exercise problem IV — task. Mathematics State Board, Class 10.

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Let

$P(11,7)$ ,

$Q(13.5,4)$ and

$R(9.5,4)$ be the midpoints of the sides

$AB$ ,

$BC$ and

$AC$ respectively of

$\triangle ABC$ . Find the coordinates of the vertices

$A$ ,

$B$ and

$C$ . Hence find the area of

$\triangle ABC$ and compare this with area of

$\triangle PQR$ .

Answer:

Coordinates of

$A =$

$(i, i)$

Coordinates of

$B =$

$(i, i)$

Coordinates of

$C =$

$(i, i)$

Area of

$\triangle ABC =$

Area of

$\triangle PQR =$

Area of

$\triangle ABC =$

$\times$ Area of

$\triangle PQR$ .

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17. Five mark exercise problem IV