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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Geometry– Triangles – A triangle ABC has area 32 sq units …. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:
Q. 1: 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
1. 4 units
2. 8 units
3. 4√2 units
4. 2√2 units
The distance OA will be minimum when the perpendicular from A on BC will pass through O.
Area of triangle ABC = 1/2 BC×AD = 1/2×8×(AO+OD ) = 4×(AO+4)
32 = 4AO+16
AO = 4
So required minimum distance = 4