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Find the area of the triangle whose vertices are (–8, 4), (–6, 6) and (–3, 9). - Mathematics

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Sum

Find the area of the triangle whose vertices are (–8, 4), (–6, 6) and (–3, 9).

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Solution

Given vertices are:

(x1, y1) = (– 8, 4)

(x2, y2) = (– 6, 6)

(x3, y3) = (– 3, 9)

Area of triangle = `1/2 (x_1(y_₂ - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2))`

= `1/2 (-8(6 - 9) + -6(9 - 4) + -3(4 - 6))`

= `1/2 (-8(-3) + -6(5) + -3(-2))`

= `1/2 (24 - 30 + 6)`

= `1/2 (30 - 30)`

= 0 units.

Concept: Area of a Triangle
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 7 Coordinate Geometry
Exercise 7.3 | Q 9 | Page 84
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