Find area of triangle with vertices at the point given in each of the following
(i) $(1, 0), (6, 0), (4, 3)$
(ii) $(2, 7), (1, 1), (10, 8)$
(iii) $(- 2, - 3), (3, 2), (- 1, - 8)$

Question

Find area of triangle with vertices at the point given in each of the following(i)(1,0),(6,0),(4,3)(ii)(2,7),(1,1),(10,8)(iii)(−2,−3),(3,2),(−1,−8)

Filo · Accepted Answer

Area of triangle having vertices as (x1​,y1​),(x2​,y2​),(x3​,y3​) is given as =21​∣∣​x1​x2​x3​​y1​y2​y3​​111​∣∣​(i) Area of triangle =21​∣∣​164​003​111​∣∣​Expanding along second column,Δ=21​[−3∣∣​16​11​∣∣​]=21​[−3(1−6)]⇒Δ=215​sq.units(ii) Area of triangle =21​∣∣​2110​718​111​∣∣​Δ=21​[2(1−8)−7(1−10)+1(8−10)]=21​[−14+63−2]Δ=21​47sq.units(iii) Area of triangle =21​∣∣​−23−1​−32−8​111​∣∣​Δ=21​[−2(2+8)+3(3+1)+1(−24+2)]=21​∣[−20+12−22]∣Δ=∣2−30​∣

Question Text	Find area of triangle with vertices at the point given in each of the following (i) $(1, 0), (6, 0), (4, 3)$ (ii) $(2, 7), (1, 1), (10, 8)$ (iii) $(- 2, - 3), (3, 2), (- 1, - 8)$
Answer Type	Text solution:1
Upvotes	150

Find area of triangle with vertices at the point given in each of the following
(i) $(1, 0), (6, 0), (4, 3)$
(ii) $(2, 7), (1, 1), (10, 8)$
(iii) $(- 2, - 3), (3, 2), (- 1, - 8)$

Text solutionVerified

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