Find the area of triangle PQR formed by the points P(-5, 7), Q(-4, -5) and R(4, 5).... | SA 3m | Maths | SuperPadhai

Coordinate Geometry > Question

SA3 marksYear: 2020EasyCBSE Class 10

coordinate-geometryarea-of-triangle

Question

Find the area of triangle

PQR

formed by the points

P (- 5, 7)

,

Q (- 4, - 5)

and

R (4, 5)

.

Solution

1

ar (PQR) = \frac{1}{2} ∣ x_{1} (y_{2} - y_{3}) + x_{2} (y_{3} - y_{1}) + x_{3} (y_{1} - y_{2}) ∣

= \frac{1}{2} ∣ - 5 (- 5 - 5) + (- 4) (5 - 7) + 4 (7 + 5) ∣

+1 mark

2

= \frac{1}{2} ∣50 + 8 + 48∣ = \frac{1}{2} \times 106

+1 mark

3

= 53

sq. units

+1 mark

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