A, B, C are the points on x, y and z axes respectively in a three dimensional co-ordinate system with O as origin. Suppose the area of triangles O A B , OBC and OCA are 4, 12 and 6 respectively, then

Question

A, B, C are the points on x, y and z axes respectively in a three dimensional co-ordinate system with $O$ as origin. Suppose the area of triangles $O A B$ , OBC and OCA are 4, 12 and 6 respectively, then the area of the triangle ABC equals

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Answer:

B

Solution:

$[A BC] = [O A B]^{2} + [OBC]^{2} + [OC A]^{2} = 16 + 144 + 36 = 14$ .

TestHub · Accepted Answer

[ A BC ] = [ O A B ] 2 + [ OBC ] 2 + [ OC A ] 2 ​ = 16 + 144 + 36 ​ = 14 .

Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

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