CAT 2018 Geometry & Mensuration Question (Hard)

Question

A triangle ABC has area 32 sq units and its side BC, of length 8 units, lies on the line . Then the shortest possible distance between A and the point 0,0 is

Accepted Answer

Step 1 Use area formula The area of triangle ABC is given by 2 times times Base BC 8 So 2 times 8 times 32 Rightarrow height 8 units This height is the perpendicular distance from point A to the line BC x 4 , since BC lies vertically on . So, point A must be at a perpendicular distance of 8 units fr

CAT 2018

Quantitative

Geometry & Mensuration

Hard

A triangle ABC has area 32 sq units and its side BC, of length 8 units, lies on the line $x = 4$ . Then the shortest possible distance between A and the point $(0,0)$ is

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